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Draw sketches (including several accurate point coordinates) for the following functions. Name all of the transformations.
1. y = 2(x + 1)^2 - 5
2. y = 1/2(x - 3)^2 + 1
3. [tex]y = -2\sqrt{x+3} - 4[/tex]
Answers
9514 1404 393
Answer:
vertical scale ×2; translate (-1, -5); (-1, -5), (0, -3), (-2, -3)vertical scale ×1/2; translate (3, 1); (3, 1), (1, 3), (5, 3)reflect over x; vertical scale ×2; translate (-3, -4); (-3, -4), (-2, -6), (1, -8)Step-by-step explanation:
Transformation of parent function f(x) into g(x) = c·f(x-h)+k is a vertical scaling by a factor of c, and translation by (h, k) units to the right and up. If c is negative, then a reflection over the x-axis is also part of the transformation. Once you identify the parent function (here: x² or √x), it is a relatively simple matter to read the values of c, h, k from the equation and list the transformations those values represent.
For most functions, points differing from the vertex by 1 or 2 units are usually easily found. Of course, the vertex is one of the points on the function.
1.(c, h, k) = (2, -1, -5)
vertical scaling by a factor of 2translation 1 left and down 5Points: (-1, -5), (-2, -3), (0, -3)
__
2.(c, h, k) = (1/2, 3, 1)
vertical scaling by a factor of 1/2translation 3 right and 1 upPoints: (3, 1), (1, 3), (5, 3)
__
3.(c, h, k) = (-2, -3, -4)
reflection over the x-axisvertical scaling by a factor of 2translation 3 left and 4 downPoints: (-3, -4), (-2, -6), (1, -8)
_____
Additional comment
For finding points on the parabolas, we use our knowledge of squares and roots:
1² = 1, 2² = 4
√1 = 1, √4 = 2
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Can someone please explain step by step on how I could get the answer? If so I’ll mark you brainliest =]
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Answer:
1 4/11
Step-by-step explanation:
Answer:
1 4/11 or 15/11
Step-by-step explanation:
basically to do that, you have to put both numbers into an improper fraction then subtract.
----- is the fraction bar.
44 29 15 4
---- - ----- = ------- mixed number : 1 ----
11 11 11 11
hope this helped!
mark me brainliest :D
When simplifying the expression, it is equivalent to what number?
48 + 4 – (8 × 3 – 22)3 × 5
A
2
B
12
C
22
D
220
Answers
Answer:
b
Step-by-step explanation:
Answer:
(b) 12
Step-by-step explanation:
they were right
Which of the following is an example of a statistic? a.) A value used to represent a population b.) Standard deviation of all financial aid packages for private universities c.) $18,000 is the average cost to attend 30 randomly selected public universities d.) Average number of all high school graduates who will attend college
Answers
Answer:
d
Step-by-step explanation:
statistic is a number that represents as numerical data
. An example of statistics is a report of numbers saying how many followers of each religion there are in a particular country.
Statistic exists a number that designates as numerical data. Average number of all high school graduates who will attend college
What is Statistic?Statistic exists a number that designates as numerical data. Statistics exist described as numerical data and is the field of math that negotiates with the collection, tabulation, and interpretation of numerical data. An illustration of statistics exists as a report of numbers expressing how many followers of each religion there exist in a certain country. Numerical data exists as a data kind described in numbers, rather than natural language description. Sometimes named quantitative data, numerical data exists ever gathered in number form.
Therefore, the correct answer is option d.) Average number of all high school graduates who will attend college.
To learn more about Statistic
https://brainly.com/question/15525560
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If the sales tax is 5% and the purchase price is $261, what is the amount of tax?
Answers
Answer:
$13.05
Step-by-step explanation:
261 X 5% = 13.05
Find the area of the figure
Answers
Fine the area as if it was a full rectangle then subtract the area of the cut out part.
7 x 6 = 42 square yards
5 x 4 = 20 square yards
42 - 20 -= 22 square yards
Answer: 22 square yards
David's phone bill each month is $30. He is also charged $0.10 per GB of data he uses. If his phone bill in july was $42, how many GB of data did he use in July?
Answers
Answer:
80$
Step-by-step explanation:
He’d payed that much
what is the value of k
Answers
Answer:
b
Step-by-step explanation:
I think
HELP ME OUT PLEASE!!!!
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Answer:
I think it would be D 40, 100
Help me pls I gotta finish this tonight (;_;)
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Answer:
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Q14. x=14, y=10
Simplify, a number multiplied by -10, subtracted from the sum of 9 and 6 times the number
Answers
Answer:
The algebraic expression is 16x+9
36 is 30% of what number?
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tell me if i’m wrong plz
A truck travels along a highway. Its distance from the exit, as a function of
time, is modeled by y= -50x+ 75.
Answers
Answer:
B
Step-by-step explanation:
it's not the other options, and it only contains one variable with constant change
Answer:
b
Step-by-step explanation:
Geometry Each of the squares in the figures shown at the right has the
same area, and each of the triangles has the same area. The total area of
Figure A is 141 cm2. The total area of Figure B is 192 cm2. What is the area
of each
square
and each triangle?
Answers
I'm sorry, I swear there's a reason, I can't help you, I even did it.you want, and a tip, never put too high points, you can lose out
Ubahlah koordinat cartesius A (-√2, √2) berikut menjadi koordinat kutub dengan r ≥ 0 dan 0° ≤ 360°
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Answer:
I can't understand anything
Matthew eat 8 crackers for a snack each weekday. On Friday, he drops 4 and only eats 4. What
is the total number of crackers Matthew eats during the week?
Answers
Answer:
36 crackers
Step-by-step explanation:
If he normally eats 8 crackers every weekday, he consumes about 40 crackers.
On the last day however, he dropped 4, so he only ate 4.
8 * 4 = 32
32+ 4
= 36
A number b is greater than or equal to 4 and at most 13
Answers
Answer:
Step-by-step explanation:
b is greater than or equal to 4: 4 ≤ b
and at most 13 : b ≤ 13
4 ≤ b ≤ 13
A bag of chips contains 621 calories and serves 4.5 people. How many calories are in each serving?
Answers
Answer:
138 calories/serving
Step-by-step explanation:
Find the unit rate, the measure of how many calories are in each serving:
621 calories
-------------------- = 138 calories/serving
4.5 servings
The number of calories are in each serving is 138.
Given that, a bag of chips contains 621 calories and serves 4.5 people.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of calories in each serving = Total number of calories/Number of servings
= 621/4.5
= 138 calories
Therefore, the number of calories are in each serving is 138.
To learn more about the unitary method visit:
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Identify all values of x
Answers
Step-by-step explanation:
(x - 3)/x = -8/(x + 3) , x ≠ 0 or -3
(x - 3)(x + 3) = -8x
x² - 9 = -8x
x² + 8x - 9 = 0
x² + 9x - x - 9 = 0
x(x + 9) - 1(x + 9) = 0
(x + 9)(x - 1) = 0
x = -9
x = 1
x ≠ 0 or -3
-9 ≠ 0 or 3 PROVED
x ≠ 0 or -3
1 ≠ 0 or -3 PROVED
Value of x is -9 and 1Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Answers
Answer:
You have the right answer selected, Mohamed is correct.
When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?
Original Equation:
-10(–202 – 9) +1 = 10x2 – 7
First Step:
-10(–2x2 – 9) = 10x2 – 8
associative property of addition
commutative property of multiplication
distributive property of
multiplication over addition
subtraction property of equality
Answers
Answer:
Subtraction property
Step-by-step explanation:
Pls help math question 100 points NO SPAM
Answers
Step-by-step explanation:
U2 = 7
U1 = 35/2
r = 7 ÷ 35/2
r = 7 × 2/35
r = 14/35
r = 2/5
#7
Common ratio
t_3/t_214/5÷714/5×1/72/5#8
y=325d+8795As per slope intercept form 8795 is the y inetercept .
Here its
The fixed value for which the company charges excluding per car valueTwo similar triangles are shown below which two sets of angles are corresponding angles p and q
Answers
Answer: p = 30 q = 30 (if not touching edge of hexagon but if it is touching edge one of the pairs) then p or q = 120 and p and q = 30
Step 1) Sum of an interior angle of a polygon = 720 degree where n = 6 as 6 exterior sides = (n-2) * 180 = (6-2) * 180 = 4 * 180 = 720 degree Where the measure of each angle of a hexagon = 720/ 6 = 120 degree Step 2) Then show 3 angle letter names = 180 degree Step 3) Angle name letters + 2 angle (other two names letters inside within triangle) add up to 180 degree Step 3) State since triangle name (of all letters within one triangle) is Isosceles Step 4) Triangle (state same triangle letters with number 2 in front) = 180 - 120 = 60 then state triangle (letter name) / 2 = 30 degrees obviously the 120 and 60 differentiates if not a hexagon to a pentagon if not a hexagon = (3 *180) / 5 = 108 then due to isosceles (180 - 108)/ 2 = 72/2 = 36 degree for a pentagon or 30 degree each for p + q for a hexagon etc
What's the index notation of 4x4x4x5x5 And 9x7x9x9x7x9 SOMEONE PLEASE ANSWER URGENTLY!!!
Answers
Step-by-step explanation:
4^3×5^2×9^4×7^2,hope it is helpful
A school is getting repainted. The painters arrive with 73 gallons of paint, and they will use 2 gallons to paint each classroom. After the painters finish painting all the classrooms, they will have 37 gallons of paint left. How many classrooms are there?
Write and solve an equation to find the answer.
_____classrooms
Answers
Answer:
___18___ classrooms
Step-by-step explanation:
Let the number of classrooms be x.
Each classroom uses 2 gallons, so x classrooms use 2x gallons.
They paint x classrooms using 2x gallons.
They still have 37 gallons left, so the entire amount of paint they had before they started painting was
2x + 37.
We are told they started with 73 gallons, so 2x + 37 must equal 73.
The equation is
2x + 37 = 73
Now we solve the equation.
Subtract 37 from both sides.
2x = 36
Divide both sides by 2.
x = 18
Answer: ___18___ classrooms
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Answers
Answer:
True
Step-by-step explanation:
With similar triangles, the ratio of the sides are in proportion. The corresponding angles are equal
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Answers
Answer:
Right
Step-by-step explanation:
(2)(5)+(2)(3)+(2)(5) what’s the total
Answers
1. 2(5)+2(3)+2(5)
2. 10+6+10
3. 26
Hope this helps!
Mr. Walterman wants to leave a 15% tip
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was the tip and how much was the total
bill, including the tip?
Answers
Answer:
25* .15= 3.75 (tip amount)
25+3.75= $28.75 (total amount)
A line passes through the point (4,7) and has a slope of 3/2
