### Home > CCA2 > Chapter 12 > Lesson 12.1.4 > Problem 12-74

12-74.

Find the equation of a cubic function that has *y* = *x*^{3} as its parent graph, a locator point at (−6, −10), and passes through the origin. Homework Help ✎

Substitute the locator point (*h, k*) into the general equation*y = a*(*x − h)*^{3} + *k*.

Use the known point, other than the locator point that lies on the graph, to solve

for the stretch factor, *a*. In this case, you are given the origin, (0, 0). Solve for *a*

and write the equation of the function.

0 = *a*(0 + 6) − 10