Question

for a function f(x)=x^2, write an equation for that function stretched vertically by a factor of 4, and shifted 2 units to the right

Answer 1

the initial function is:

`f(x)=x^2`

to stretch the fuction vertically we have to divide by 4 y so:

`\begin{gathered} (f(x))/(4)=x^2 \\ f(x)=4x^2 \end{gathered}`

now to move two units to the right we have to rest 2 in the x so:

`f(x)=4(x-2)^2`