The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answers

Answer 1
Answer: The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
The graph of f(x) = x2 is made narrower
Answer 2
Answer:

A. The graph of f(x) = x2 is made narrower.

I took the test and that was the answer i got.


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Which expression is equivalent to 10x2y + 25x2?5x2(2y + 5)
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Answers

The expression 10x^2y + 25x^2 is an algebraic expression, and the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when evaluated

The expression is given as;

10x^2y + 25x^2

Factor out 5x^2

10x^2y + 25x^2 = 5x^2(2y + 5)

The above means that the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

Read more about equivalent expressions at:

brainly.com/question/2972832

10 x^(2) y +25 x^(2) = 5 x^(2) ( (10 x^(2) y +25 x^(2) )/(5 x^(2) )) = 5 x^(2) ( (10 x^(2) y)/(5 x^(2) ) + (25 x^(2) )/(5 x^(2) ) ) = 5 x^(2) ( (2y)/(1) + (5)/(1) )

Answer A   5x² * ( 2y + 5)

Every month, Carmine's savings account pays 0.049% interest on the amount in the account. Ifshe has $1,100.00 in the account at the beginning of the month and doesn't withdraw any of it,
what will be the interest payment for this month?

$53.90

$49.00

$0.54

S0.49

Answers

Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

.Amy is an installer for the telephone company. She earns $10 per hour. How much does she earn in 40 hours?

Answers

Hi all you would do is 10*40 which is 400, so she would have earned 400 dollars in 40 hours

What is 386.05679 rounded to the nearest hundredths ?

Answers

386.06

Hope it helps you

What is negative five plus ten?

Answers

Answer:

Step-by-step explanation:

Answer:

it's obviously 5

-5+10 = 5

What is the value of x?

Answers

Answer:

x=70

Step-by-step explanation:

Since they are supplementary angles (180°)

45° + (2x-5)° = 180°

(2x-5)° = 180° - 45°

(2x-5)° = 135°

2x° = 135° + 5°

2x° = 140°

x° = 140/2°

x° = 70°

Since they are supplementary angles (180°)

45° + (2x-5)° = 180°

(2x-5)° = 180° - 45°

(2x-5)° = 135°

2x° = 135° - 5°

2x° = 130°

x° = 130/2°

x° = 65°