Sketch y=-(x+2)2(x-1) and its output-modulus graph on separate axes. Label all axis intersections, i

Question

Sketch y=-(x+2)2(x-1) and its output-modulus graph on separate axes. Label all axis intersections, indicate crossing or touching, and state which portions reflect.

Accepted Answer

Intercepts $(-2,0)$, $(1,0)$ and $(0,4)$. Touch at $-2$, cross at $1$; the original graph is negative exactly for $x>1$. Reflect those negative portions; modulus vertical intercept $(0,4)$. Every zero is a touching point of the modulus graph.

Interpreting cubic factors and signs

Interpreting cubic factors and signs

Solution:

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