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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!

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. Than class=

Answer :

Given

[tex]f(x)=x^2,\text{ }h(x)=2x^2+15[/tex]

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

Explanation:

It is given that,

[tex]f(x)=x^2,\text{ }h(x)=2x^2+15[/tex]

That implies,

[tex]\begin{gathered} h(x)=2x^2+15 \\ =2f(x)+15 \end{gathered}[/tex]

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

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