Y =x^3 is scaled by -2. What happens to the graph?
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It’s assumed that by scaled you mean x➝-2x and y➝-8x³.

The minus sign inverts or reflects the graph in the x-axis. The factor 2 makes the curve narrower or elongated. For example, when x=1, the original curve passes through (1,1), but after the transformation this point becomes (1,-8). When x=2, (2,8)➝(2,-64). When x=½, (½,⅛)➝(½,-1). The origin is unaffected.

The red curve is the original and the blue curve is its transformation after scaling. Note that the saddle point at the origin becomes quite narrow.

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