Cubic Function Graph: Quick Exploration

Move the 2 LARGE POINTS around. As you do, note how the equation of the cubic function changes.

Which of the following operations would need to be applied to the graph of the parent cubic function [math]y=x^3[/math] in order to get the graph of [math]y=a\left(x-h\right)^3+k[/math]?

Shift the parent function [i]h[/i] units left. Vertically shrink the parent function by a scale factor of [i]a[/i]. Shift the parent function [i]k[/i] units right. Vertically stretch the parent function by a scale factor of [i]a[/i]. Shift the parent function [i]h[/i] units right. Shift the parent function [i]h[/i] units down. Shift the parent function [i]k[/i] units up. Shift the parent function [i]k[/i] units left. Shift the parent function [i]k[/i] units down. Shift the parent function [i]h[/i] units up.

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– Tim Brzezinski

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