Question

Let f(x)=25x2−2 .

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

Answer 1

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

g(x) = 4/5x^2-4

Explanation:

Answer 2

For this case we have the following function:
f (x) = 25x2-2
Applying the transformation we have:
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:
g (x) = 2 * f (x)
g (x) = 2 * (25x2-2)
g (x) = 50x2 - 4
Answer:
The equation of g (x) is:
g (x) = 50x2 - 4