Find a reasonable equation for each function graphed below.

1. 

   Hint 1(a):

   What parent function resembles this curve?

   Hint 2(a):

   Where is the locator point?

   Hint 3(a):

   What is the general equation of a cubic function?

   Hint 4(a):

   Substitute the locator point for the horizontal and vertical shifts.

   Hint 5(a):

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

   Answer 1(a):

   A cubic function is a possible answer.

   Answer 2(a):

   $\left(2, −3\right)$

   Answer 3(a):

   $y = a\left(x − h\right)^{3} + k$

   Answer 4(a):

   $y = a\left(x − 2\right)^{3} − 3$

   Answer 5(a):

   $y = −\left(x − 2\right)^{3} − 3$

2.