Question

How is the graph of y=-6x^2+4 different from the graph y=-6x^2

Answer 1

Answer with explanation:

We know that the graph of:

                   $y=-6x^2$

is a downward open parabola with vertex at (0,0)

and the graph of:

                    $y=-6x^2+4$

is again a downward open parabola but the vertex of the parabola are at (0,4)

This means that the graph of the second function id obtained by applying a translation transformation that is a shift of the first function "4" units upward.

Answer 2

The Y-Axis is higher on the "+4" equation, so the parabola will look taller.