Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a seperate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
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I'm not sure how to graph them.
Well, this is a quadratic function, so we know it'll have that parabola shape.
Do you know about parent functions and shifting? We could look at this with the parent function y=x^2 rotated about the x-axis and compressed, with the second being shifted vertically 4 units. Otherwise, we could just plot a few points on a graph and see visually how it works out.
I haven't heard of parent functions and shifting but I think I understand what you're talking about.