say this like a 9th grader The graph of y = -2x^2 is a downward-facing parabola that opens towards the negative y-axis. The vertex of the parabola is at the origin (0,0) and the curvature is narrow.

The graph of y = -2x^2 + 4 is also a downward-facing parabola, but it has been shifted up by 4 units. The vertex of this parabola is at the point (0,4) and the curvature is still narrow, but the graph is higher on the y-axis compared to the first function.

In summary, both graphs have the same shape (downward-facing parabola) but the second function has been shifted upwards by 4 units.

1 answer

The first graph is like a sad emoji frown, while the second graph is like it ate some happy pills and turned into a smiley face.
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