If a quadratic function, has a turning point at (8,-6) then where would the function g(x) defined by g(x)=4f(x) have a turning point? Explain.

Question

If a quadratic function, has a turning point at (8,-6) then where would the function g(x) defined by g(x)=4f(x) have a turning point? Explain.

Answer 1

To see this, graph the first equation. Next, at each X point, multiply the Y value by 4. You will see that all points with a positive Y value will be shifted up, and all points with a negative Y value will be shifted down.

The point (8,-6) becomes (8, -24)