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.
