Lesson 9 Lining Up Quadratics Solidify Understanding

Ready

Multiply the following binomials using the open area models to assist you.

Example:

a diagram with sides labeled (2x 3) and (5x – 7)

1.

a blank diagram

2.

a blank diagram

3.

a blank diagram

4.

a blank diagram

5.

a blank diagram

6.

a blank diagram

7.

a blank diagram

8.

a blank diagram

9.

a blank diagram

10.

The “like-term” boxes in the last three problems reveal a special pattern. Describe the relationship between the middle coefficient () and the coefficients () and ().

Set

Given the factored form of a quadratic function: Create the graph, and identify the vertex, intercepts, and vertical stretch of the parabola.

11.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

12.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

13.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

14.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

15.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

16.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

Go

Given the vertex form of a quadratic function: Create the graph, and identify the vertex, intercepts, and vertical stretch of the parabola.

17.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

18.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

19.

a blank 17 by 17 grid

Vertex:

-intercept(s):

-intercept:

Stretch:

20.

Show the work that proves each of the following.

a.

b.