Question

Please Help!
Fan & Medal
Here is the parent function: y=x^2
Describe how each function below is different from the parent function above ( shifted up 5, right 7, etc)

Answer 1

\(\normalsize\color{black}{ y=x^2 }\) is a parabola at the origin.
The center of this one is (7,5) that's all.

Answer 2

\(\normalsize\color{black}{ y=(x-7)^2+5 }\)

Answer 3

y=a(x-h)^2+k
h is the horizontal shift to the right by h units.
k is the vertical shift up by k units.

y=a(x-(-h))^2-k
h is the horizontal shift to the left by h units.
k is the vertical shift down by k units.

Answer 4

a determines the vertical stretching of the prabola