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22 October, 10:03

Let

f (x) =

1

2

x

2

+4

.

The function

g (x)

is a vertical stretch of

f (x)

by a factor of 4.

What is the equation of

g (x)

?

Enter your answer in the box.

g (x)

=

+5
Answers (1)
  1. 22 October, 10:33
    0
    g (x) = 48x^2 + 4

    Step-by-step explanation:

    If f (x) = 12x^2 + 4 then g (x) would be the main x^2 term of the function times 4. This becomes g (x) = 48x^2 + 4. This will keep the vertex the same but stretch the function and make it skinnier in looks.
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