Quadratic Tranformations

Question

Describe the transformation of f(x)=-x^2 +2 from the parent quadratic function.

Answer 1

Start with the "parent function", y = x².

 

Reflecting the graph of y = x² in the x-axis gives us the graph of y = -x².  

 

Translate the graph of y = -x² two units upward to obtain the graph of f(x) = -x² + 2.