### Home > CCA2 > Chapter 2 > Lesson 2.1.2 > Problem 2-24

Consider the equations and

*. 2-24 HW eTool (Desmos). Homework Help ✎.*

Verify that they are equivalent by creating a table or graph for each equation.

Here are a couple of points on the table. Make sure you get these points and continue both of your tables for at least the

*x*-values given.*x y*

-2 22

-1

0

1 -5

2Show algebraically that these two equations are equivalent by starting with one form and showing how to get the other.

Notice that the value for

*a*is 3 in both forms of the equation, but that the numbers for*b*and*c*are different from the numbers for*h*and*k*. Why do you think the value for*a*would be the same number in both forms of the equation?What does the value for

*a*represent?

Use the eTool below to graph the equations.

Click the link at right for the full version of the eTool: CCA2 2-24 HW eTool