What is the effect on the graph f(x)= x^2 when it is transformed to h(x)= 2x^2 + 15???Please help! provide answer choice A,B,C or D and simple explanation. Thanksss!

Question

asked Oct 16, 2023 154k views

1 Answer

Patel Dhruval · Answer 1 · 2023-10-20T22:27:18+0000

Given

$f(x)=x^2,\text{ }h(x)=2x^2+15$

To find: What is the effect on the graph f(x)= x^2 when it is transformed to h(x)= 2x^2 + 15?

Step-by-step explanation:

It is given that,

$f(x)=x^2,\text{ }h(x)=2x^2+15$

That implies,

$\begin{gathered} h(x)=2x^2+15 \\ =2f(x)+15 \end{gathered}$

Then, the graph of f(x) is vertically stretched by a factor of 2, and shifted 15 units up.