Question

HELP PLS

Let f(x)=2/5 x^2−2 .

The function g(x) is a vertical stretch of f(x) by a factor of 2.

What is the equation of g(x)?



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Answer 1

We have then:

f(x) = 2/5x^2-2 The function g (x) is a vertical stretch of f(x) by a factor of 2:

g(x) = 2f (x)

g(x) = 2 (2/5x^2-2)

g(x) = 4/5 x^2-4 is a required equation.

Answer 2

Expansions and compressions are transformations that change the length or width of the graph of a function.


To graph y = a*f (x)
if a> 1, the graph of y = f (x) is expanded vertically by a factor a.
We have then:
f (x) = 2/5 x ^ 2-2
The function g (x) is a vertical stretch of f (x) by a factor of 2:
g (x) = 2f (x)
g (x) = 2 (2/5 x ^ 2-2)
g (x) = 4/5 x ^ 2-4

Answer:
The equation of g (x) is:
g (x) = 4/5 x ^ 2-4