Question

If you apply the changes below to the quadratio parent function, f(x) = x2

Answer 1

Answer:

$f(x) = -5(x+1)^2$

Step-by-step explanation:

We are given the following function:

$f(x) = x^2$

Shift 1 unit right.

Shifting a function a units to the right is finding f(x+a). So

To shift one unit right:

$(x+1)^2$

Vertically stretch by a factor of 5.

To vertically stretch by a factor of 5, we multiply the function by 5. So

$5(x+1)^2$

Reflect over the x-axis.

To reflect over the x-axis we multiply the function by -1. So

$f(x) = -5(x+1)^2$