Question

Write a function G whose graph represents the indicated transformation of the graph f


`f(x) = (2)/(3) {x}^(2) + 2`
vertical stretch by a factor of 3
​

Answer 1

`G(x) = 2x^2+6`.

Explanation:

The given function is

`f(x) = \frac 2 3 x^2 +2`

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So,
`G(x) = 3 * ( \frac 2 3 x^2 +2)= 2x^2+6`

Hence, the required function is
`G(x) = 2x^2+6`.