The graph of Fx), shown below, has
the same shape as the graph of
G(X)=x2 but is shifted right by 3 units
and down by 2 units. Write the
equation for F(x)
Answers
Answer:
f(x) = (x - 3)²- 2
Step-by-step explanation:
Given the graph of f(x), where it has the same shape as the graph of g(x) = x², but is shifted right by 3 units, and down by 2 units.
The horizontal translation of the parent graph parabola, g(x) = x², is represented by y = (x - h)², where the graph shifts by h units to the right, such that h > 0.
The vertical translation of the parent graph is represented by y = f(x - h)² - k, where the graph is vertically translated by |k | units downward, such that k < 0.
Therefore, the equation that represents the vertical and horizontal translations of the graph is: f(x) = (x - 3)²- 2.
Related Questions
Leyla goes shopping at Marshalls and buys”t” t-shirts that cost $12 each. She also has a $10-off coupon. Define your variable and write an expression for how much Leyla spends at Marshalls.
Answers
Answer:
12t - 10
Step-by-step explanation:
let 't' = t-shirts
let 'c' = total cost
c = 12t - 10
Use a variation model to solve for the unknown value.
The intensity of light from a light source varies inversely as the square of the distance from the source. If the intensity of a light bulb is 400 lumen/m²(lux) at a
distance of 7 m, determine the intensity at 10 m
Round your answer to the nearest hundredth, if possible
The intensity is (BLANK)
lux when the distance is 10 m
Answers
Answer:
Step-by-step explanation:
Let L₀ be the luminosity as measured 1 m from the source
400 = L₀/7²
L₀ = 400(49) = 19,600 lumen
L = 19600 / 10²
L = 196 Lumen
The model shows the expression 20+ 16.
Which expression is equivalent to this sum?
4(5)+4
4+5+4
4+(5+4)
5+(4+4)
Help I didn't study
Answers
Answer:
4(5)+4 = 24
4+5+4 = 13
4+(5+4) = 13
5+(4+4) = 13
I was having trouble understanding your question; 20+16 = 36. None of the expressions are equivalent to the sum
2x<10Solve the inequality.
Answers
Answer:
x < 5
Step-by-step explanation:
2x < 10 ( divide both sides by 2 )
x < 5
i need help with this pls!
Answers
Answer:
No
Step-by-step explanation:
Janita should not but the table. If the table was 6 feet wide, the widest it can be, the area would be 45 square feet. If the table is 46 7/8 square feet, the width is greater than 6 ft.
Answer:
46 7/8 is roughly 9 feet by 5 feet, so she should not purchase the table because the length isn't of the table is too wide.
Step-by-step explanation:
If f2 + square root of 3 is a polynomial root, name another root of the polynomial, and explain how you
know it must also be a root
Answers
Answer:
Root 2 = 2 - root 3
Step-by-step explanation:
According to question
root 1 = 2 + root 3
and as we know
that two root of an equation are b + root 4ac / 2a and b - root 4ac
Thus
Another root
I hope this was helpful!
God Bless!
Y’all what is this help I’ll give u brainlist or whatever it’s called pls help
Answers
Answer for the 1st question: 169 times
Answer for the 2nd question: Circumference of Circle B = 2.01
Which of the following values could the number 500,000 be composed of?
5,000 tens
50,000 tens
5,000 hundreds
50,000 hundreds
5,000 thousand
Answers
50000 tens
5000hundreds
How?
1ten=1050000 tens:-
[tex]\\ \sf\longmapsto 50000(10)=500000[/tex]
1hundred=1005000hundreds
[tex]\\ \sf\longmapsto 5000(100)=500000[/tex]
The number 500,000 can be composed of in 50,000 tens and 5,000 hundred option (B) 50,000 tens and option (C) 5,000 hundreds are correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that a number that is:
= 500, 000
In the above number there is five zeroes
As we know,
Tens = 10 (one zero)
Hundreds = 100 (two zero)
We can write the above number as follows:
500,000 = 50,000x10 = 5,000 tens
500,000 = 5,000x100 = 5,000 tens
The number 500,000 can be composed of:
50,000 tens5,000 hundredsWhere tens mean 10 and hundreds mean 100.
Thus, the number 500,000 can be composed of in 50,000 tens and 5,000 hundred option (B) 50,000 tens and option (C) 5,000 hundreds are correct.
Learn more about the number here:
brainly.com/question/17429689
#SPJ2
Let f(x) = 5x – 8 and g(x) = 9 - 6x2.
-
(f o g)(-3) =
Answers
Step-by-step explanation:
f(x) = 5x - 8
g(x) = 9 - 6x²
= (fog)(-3)
= f( g(3) )
= 5x - 8
= 5(9 - 6x²) - 8
= 5(9 - 6(-3)² ) - 8
= 5(9 - 54) - 8
= 5(-45) - 8
= -225 - 8
= -233
(fog)(-3) = -233
Simplify (6^7)3
O A. 621
O B. (1/6)21
O C. 6^10
O D.42^3
Answers
Answer:
[tex]6^{21}[/tex]
Simplified is [tex]2.193695064*10^{16}[/tex]
I don't know if A is supposed to [tex]6^{21}[/tex]
Step-by-step explanation:
You have to use the Power rule: [tex](x^a)^b=x^{ab}[/tex]
So [tex](6^7)^3=6^{7(3)}[/tex]
[tex]6^{21}[/tex]
Simplified is [tex]2.193695064*10^{16}[/tex]
A line passes through point (-4,8) and has a slope of 5/2
Answers
Answer:
y-8=5/2(x+4)
Step-by-step explanation:
If you are trying to find the point slope formula, this would be the answer. The point slope formula is [tex]y-y_{1}=m(x-x_{1} )[/tex], where m is the slope. You can plug things in and get y-8=5/2(x+4)
The record high temperature recorded one year was 93°F while the record low temperature that year was -21°F. How much warmer was the high temperature than the low temperature?
Answers
92F- 21F = 72 Degrees
Hope this helps
A box has colored balls (12 red, 10 green, 6 light blue and 8 yellow). What is the probability of drawing 2 red balls?
Answers
9514 1404 393
Answer:
1/14
Step-by-step explanation:
The probability of drawing the first red ball is 10/36, the number of reds divided by the number of balls.
The probability of drawing the second red ball is 9/35, the remaining number of reds divided by the remaining number of balls.
P(2 red) = (10/36)(9/35) = 1/14
what is the slope of 9,12 and 7,4
Answers
Answer:
m=3/16
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
y2-y1 / x2-x1
"y2" in this expression is 4 "y1" is 12
4 - 12 = -8
"x2" = 7 "x1" = 9
7 - 9 = -2
Then we divide the difference of the 2 y values and of the x values,
-8 divided by -2 = 4
throwaway account, first one to answer = 55 points
Answers
Answer:
Me
Step-by-step explanation:
55pts
The measures of 13 angles of a 14-gon add up to 2014. Find the fourteenth angle measure
Answers
Answer:
154.92
Step-by-step explanation:
2014/13=154.92
What is 8 2/5% of 75? Write your answer as a decimal
Answers
Answer: 0.875
Step-by-step explanation:
The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).
Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.
What
=
Any variable like
x
Percent / Percentage / %
=
Divide by 100
of
=
Multiply
is
=
Put an equal to (
=
) sign
I’ll give you an example through a question.
What percent of 200 is 5?
Ans: Replace English words by mathematical tools according to the rules I told you.
x
( What) /100 ( percent)
×
( of) 200
=
( is) 5
In a refined form,
x
100
×
200
=
5
Calculate x. On calculating, x comes out to be
2.5
So, 2.5 percent of 200 is 5.
Now your question is actually very simple if you follow my rules.
You want 87.5%. By the rules, % means divided by 100. So
87.5
%
=
87.5
100
and now using the same strategy, Ans:
875
1000
Disregard the next section if you know how to convert a decimal to a fraction
Section Starts
First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by
n
number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.
In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.
This is the answer in decimal point.
Now simultaneously, I’ll teach you how to convert a decimal into a fraction.
Here, you see 2 types of “numbers”. One to the left side of the decimal point and one to the right side of the decimal point.
Here, left side of decimal point is 0 and right side of decimal point is 875.
Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)
Remove the decimal point and divide the number by a number formed by 1 followed by the “digits” we obtained (i.e. 3).
So, 875/1000. Simplify this, and you get your answer.
Tim's town voted on a new speed limit. Out of 35 votes, 21 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?
Write your answer using a percent sign (%).
Answers
Answer: I believe the answer is 60%
I NEED HELP DUE IN 10 MINUTES!
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
2,10,50_ _ pls help!!!!!!!!!!!!!!!!!
Answers
Answer:
2, 10, 50, 250, 1250
Step-by-step explanation:
this is the answer because every time you will times the answer by five the first answer 2 times 5 equals 10, 10 times 5 is 50, 50 times 5 equals 250, 250 times 5 equals 1250.
plz give be brainiest
Who can solve 5 + [5(6^3)] - 10
Answers
5+(5(6^3)] -10
5+(5(216)]-10
5+(1080)-10
1085-10
1075
Final answer= 1075
Step-by-step explanation:
small braccket first = 216
then 5"216= 1080
5+1080-10
1085-10
1075
-3x-2+7x=10 please help
Answers
Answer:
4x=12<=>x=3
Step-by-step explanation:
-3x+7x=4x
Answer:
-3
Step-by-step explanation:
-3x-2+7x=10
combine like terms
-3x+7x=10+2
-4x=12
divide
-4x/-4=12/-4
x=-3
209.69 rounded to 2 Dp
Answers
Answer:
209.70
Step-by-step explanation:
209.70 to 2decimal places
Eduardo is in 8th grade and gets an allowance of $10 every week from his parents. He has saved up $110 so far in a savings account. He wants to buy some new clothes since his current wardrobe is getting worn out. He sets a budget of $250 for himself.
a: How much more money does Eduardo need before he can go shopping?
b: How many months will it take Eduardo to save this much money?
Answers
Answer:
eduardo needs 140 more dollars before he can go shopping
3 months
Step-by-step explanation:
a: Eduardo needs $140 more money before he can go shopping.
b: 3.5 months will it take Eduardo to save this much money.
a: To find out how much more money Eduardo needs before he can go shopping, you subtract his current savings from his budget:
Amount needed=Budget−Current savings
=$250−$110
=$140
Hence, Eduardo needs $140 more money before he can go shopping.
b: To calculate how many months it will take Eduardo to save this much money, we need to divide the remaining amount he needs by his weekly allowance:
Number of weeks needed=Amount needed/weekly allowance
=140/10
=14
Since there are roughly 4 weeks in a month, you can estimate that it will take Eduardo approximately 14 weeks ÷ 4 weeks/month
= 3.5 months.
Hence, it will take Eduardo about 3.5 months to save up the remaining $140 he needs.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
Mee: 5324611502 Pa: here
Answers
Answer:
yuh
Step-by-step explanation:
-b-2>8 solve the inequality
Answers
Answer:
b < 10
Step-by-step explanation:
-b - 2 > 8
Add 2 to both sides.
-b > 10
Divide both sides by -1. When dividing by a negative, flip the inequality sign.
b < 10.
HELPPP LAST ATTEMPT!!
Answers
Answer:
(-6, 3)
Step-by-step explanation:
Answer:
(-6,3)
Step-by-step explanation:
To the right would change x axis so from (-9,5) to (-6,5) then down would change to y so from (-6,5) to (-6,3)
SO SORRY IF ITS NOT CORRECT :(
serious
have a god rest of ur niighhttt :3
Find the area of a triangle whose base is 26 inches and whose height is 13 inches. Write your answer as a decimal, if necessary. Do not include units in your answer
Answers
Answer:
169 in square
Step-by-step explanation:
first multiply 13 by 26 which is 338 a triangle is half of a square or rectangle so divide 338 by 2 to get 169 in square
When a ball is dropped onto a flat floor, it bounces to 65% of the height from which it was dropped. If the ball is dropped from 80 cm, construct a sequence consists of the first, second and third term which represents the height of each bounce from the first drop.
13n
Show that the height of nth bounce, Tn is = 80 .
20
Hence, find the height of the fifth bounce
Answers
Using a geometric sequence, it is found that:
The rule for the height of the nth bounce is:[tex]a_n = 52(0.65)^{n-1}[/tex]
The height of the fifth bounce is of 9.28 cm.In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
Bounces to 65% of the height from which it was dropped, thus the common ratio is of [tex]q = 0.65[/tex].Dropped from 80 cm, thus, the height of the first bounce is [tex]a_1 = 80(0.65) = 52[/tex].Thus, the rule for the height of the nth bounce is:
[tex]a_n = 52(0.65)^{n-1}[/tex]
The height of the fifth bounce is [tex]a_5[/tex], thus:
[tex]a_5 = 52(0.65)^{5-1} = 9.28[/tex]
The height of the fifth bounce is of 9.28 cm.
A similar problem is given at https://brainly.com/question/11847927
An investigator at a crime scene found a triangular piece of torn fabric. The investigator remembered that one of the suspects had a triangular hole in their coat. Perhaps it was a match. Unfortunately, to avoid tampering with evidence, the investigator did not want to touch the fabric and could not fit it to the coat directly.
a) If the investigator measures all three side lengths of the fabric and the hole, can the investigator make a conclusion about whether or not the hole could have been filled by the fabric?
b) If the investigator measures two sides of the fabric and the included angle and then measures two sides of the hole and the included angle can he determine if it is a match? Explain.
Answers
9514 1404 393
Answer:
a) yes
b) yes
Step-by-step explanation:
a) Triangles can be proven congruent by the SSS postulate, so knowing the three side lengths is sufficient to demonstrate the piece will fit in the hole.
__
b) A triangle can be solved (completely specified) if two sides and the included angle are known. Those measurements on the fabric and the hole allow all side lengths and angles of the triangles to be determined completely. Hence the triangles can be shown congruent as a result.
_____
Additional comment
Showing SSS congruence generally means demonstrating corresponding sides are the same length. However, the three side lengths completely specify the triangle. The side lengths can always be made corresponding if they are listed in some order, for example, shortest to longest.
Showing SAS congruence requires that corresponding sides and angles be shown congruent. However, an SAS specification of a triangle is sufficient to permit determination of all sides and angles. Specifically, the third side length can be found using the Law of Cosines, and the remaining angles can be found from either the Law of Sines or the Law of Cosines.
