Question

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!

Answer 1

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.