### Home > PC > Chapter 1 > Lesson 1.1.3 > Problem 1-40

1-40.

Find a reasonable equation for each function graphed below. Homework Help ✎

What parent function resembles this curve?

Where is the locator point?

What is the general equation of a cubic function?

Substitute the locator point for the horizontal and vertical shifts.

How should the equation show that the curve is reflected vertically?

A cubic function is a possible answer.

(2, −3)

*y* = *a*(*x* − *h*)^{3} + *k*

*y* = *a*(*x* − 2)^{3} − 3

*y* = −(*x* − 2)^{3} − 3

Follow a similar procedure as outlined in part (a).