PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.
Answers
9514 1404 393
Answer:
y = 3x^2 +30x +69
Step-by-step explanation:
Transformations work this way:
g(x) = k·f(x) . . . . vertical stretch by a factor of k
g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)
__
So, the translation down 2 units will make the function be ...
f(x) = x^2 ⇒ f1(x) = f(x) -2 = x^2 -2
The vertical stretch by a factor of 3 will make the function be ...
f1(x) = x^2 -2 ⇒ 3·f1(x) = f2(x) = 3(x^2 -2)
The horizontal translation left 5 units will make the function be ...
f2(x) = 3(x^2 -2) ⇒ f2(x +5) = f3(x) = 3((x +5)^2 -2)
The transformed function equation can be written ...
y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)
y = 3x^2 +30x +69
__
The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.
Related Questions
Which expression is equivalent to (1/16)^-4
Answers
Answer: =65536
Step-by-step explanation: hope this help
Answer: There are a few but: (-16)^4 is my first anwser.
Step-by-step explanation:
If you have a negative number in the parathesis you'll usually make it 1 over the number in this case 1/16 can be written as -16. That way the negative 4 can become positive four once you change the 1/16 to -16.
I hope that makes sense.
The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?
Answers
Answer:
14 degrees F
Step-by-step explanation:
Answer:
Step-by-step explanation:
from -7 degrees F to 0 are 7 degrees change
from 0 to 7 are also 7 degrees,
in total are 14 degrees in change
PLEASE HELP!!!! 25 POINTS!!!
don't need to answer all but someone please help with a few questions!!!
(GRAPH INCLUDED)
Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arms span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answers
Answer:
x variable
Step-by-step explanation:
HOPE IT WILL HELP YOU
a^2 + 6=
a=5
Evaluate
Answers
Answer:
31
Step-by-step explanation:
[tex]a^{2} +6=?[/tex]
[tex](5)^{2} +6=?[/tex]
[tex]25+6=?[/tex]
=31
please help! thank u!
Answers
Step-by-step explanation:
I cannot see the correct value so u check yourself. but this is the correct graph.
What is the quotient of 3/7 and 14?
Answers
Answer:
Answer down below
Step-by-step explanation:
If its 3/7 divided by 14 it is 3/98
If its 14 divided by 3/7 it is 98/3
Hope this helps
The average diameter of a tree is measured over time. The equation y = 3/4x, where x is time in years and y is the
diameter in inches, models this relationship.
What is the predicted diameter, in inches, of the tree after 12 years?
Answers
Answer:
The predicted diameter of a tree after 12 years is 9 inches.
Step-by-step explanation:
The average diameter of the tree is represented by [tex]y = \frac{3}{4}\cdot x[/tex]. The predicted diameter of the tree after 12 years is determined by evaluating the linear function at [tex]x = 12[/tex]. That is:
[tex]y = \frac{3}{4}\cdot (12)[/tex]
[tex]y = 9[/tex]
The predicted diameter of a tree after 12 years is 9 inches.
Find the slope of the line that passes through these two points: (-3, -7) and (5, -5) -4 -1/4 1/4 4
Answers
Answer:
It will be 1/4
Step-by-step explanation:
Hope this helped
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?
Answers
Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)
[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]
Put m in (i) , we get
[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]
i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6
how much is 28 yards in feet
Answers
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
HAVE A GOOD DAY!
Brainliest????
Write an equation and solve: At Trader Joes, Mrs.
Jacobs buys bananas for $0.65 per pound and a
frozen pizza for $4.99. The total for her purchase
was $6.94. How many pounds of bananas did
Mrs. Jacobs buy?
Answers
Take the 1.95 divid by the 0.65 per pound and she bought 3 pounds
On a certain hot summer's day, 234 people used the public swimming pool. The
daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled
$435.00. How many children and how many adults swam at the public pool that day?
Answers
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp
Answers
Answer:
its the first one.
Step-by-step explanation:
Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?
Answers
Answer:
195.65
Step-by-step explanation:
Answer:
100%-29% = 71%
568/0.71 = 800
price was $800
Step-by-step explanation:
If I'm wrong I'm sorry
If I'm right Thank you and (Brainliest plz )
In a cookie jar containing 6 chocolate chip cookies, 8 sugar cookies, and 10 peanut butter cookies, what is the probability that a person who isn’t looking as they pull out one cookie, will get a chocolate chip cookie? express your answer a
Answers
Answer:
25 percent
Step-by-step explanation:
brainliest please
Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2
Answers
9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
2x−3y=3x=y+2The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest
Answers
there is a line whose y-intercept is 10 and whose slope is -1/2. what is its equation in slope-intercept form? y= x +
Answers
This is simple
14.3 times 6.2
[NEED ANSWER ASAP]
Answers
Answer:
88.66
Step-by-step explanation:
used calculator
What is the difference?
5X
X-2
x + 4
2x
9x2 + 2x + 8
2 x(x - 2)
7x²+8
2 x(x - 2)
9x2–2x+8
2 x(x-2)
7x²-8
2X(x-2)
Answers
Answer:
Are these the option or what what this suppose to be ??????
(9r^2+4r-7)+(3r^2-3r)
Answers
Answer:
12r2+r−7
Step-by-step explanation:
hope it helped
What is the radius of a circle with a circumference of 81.64 feet.
Answers
Answer:
Step-by-step explanation:
Your answer
Circumference = 2 * π* r = 81.64
r = 12.99 → 13
Mark it as Brainlist answer. Follow me.
Amelia bought 40 plain black T-shirts for $4 each.She painted designs on them and then sold each T-shirt for 7.50.How much profit did Amelia make selling her fancy T-shirts?
Answers
I hope this helpfull dor you...But if this not helpfull,im so sorry...
A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.
please help me fast.
Answers
Answer:
1140
Step-by-step explanation:
7u-> 665
1u->95
7+5=12
12u->1140
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answers
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
Each pair of polygons is similar. Find each missing side measure. two polygons 12 on top 5 on bottom second polygon 48 on top x on bottom
Answers
Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
Given
First Polygon:
[tex]Top = 12[/tex]
[tex]Bottom =5[/tex]
Second Polygon
[tex]Top = 48[/tex]
[tex]Bottom =x[/tex]
Required
Find x
Since both polygons are similar, then:
[tex]Ratio = Top:Bottom[/tex]
For the first:
[tex]Ratio = 12:5[/tex]
For the second
[tex]Ratio = 48:x[/tex]
Equate both ratios
[tex]12:5 = 48:x[/tex]
Express as fraction
[tex]\frac{12}{5} = \frac{48}{x}[/tex]
Cross Multiply
[tex]12 * x = 48 * 5[/tex]
Solve for x
[tex]x = \frac{48 * 5}{12}[/tex]
[tex]x = \frac{240}{12}[/tex]
[tex]x = 20[/tex]
help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!
Answers
Answer: It's the top left because the line passes through 10 on the y axis.
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Answers
survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.
Answers
Answer:
ll and lll
Step-by-step explanation:
What is the main idea of this text
Atkins agreed to testify against Manson in exchange for avoiding the death penalty. Her grand jury testimony led to Manson being arraigned for the murders on Dec. 11, 1969. Atkins later recanted her testimony, and her deal was revoked by the prosecutors [source: Steffens and Staples]. Linda Kasabian, who hadn't entered any of the houses or committed any murders, was granted immunity and testified for the prosecution during the trial.
Answers
Answer:
the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty
