Question

4. How would the graph of the function y=x^2- 5 change if the function became y=x² + 2?

Answer 1

Given the function:

$y=x^2-5$

Adding 7 at both sides of the function:

$\begin{gathered} y+7=x^2-5+7 \\ y+7=x^2+2 \end{gathered}$

The function transformation: y + a, translates the graph of y, a units up.

Therefore, the graph of y = x²- 5 was translated 7 units up to become the graph of y = x² + 2