Lesson 2 You-Mix Cubes Solidify Understanding

Ready

Use the graph to write the equation of the quadratic function.

1.

A parabola opening up with the points (-2,0) and (3,0) graphed on a coordinate plane. x–4–4–4–2–2–2222444y–6–6–6–4–4–4–2–2–2222000

2.

A parabola opening up with the points (-4,0) and (-1,0) graphed on a coordinate plane. x–4–4–4–2–2–2y–2–2–2222444000

3.

A parabola opening up with the points (-4,0) and (-1,0) graphed on a coordinate plane. x–8–8–8–6–6–6–4–4–4–2–2–2y–2–2–2222444666000

4.

A parabola opening up with the points (-6,0) and (-2,0) graphed on a coordinate plane. x–6–6–6–4–4–4–2–2–2222y222444000

5.

A parabola opening down with the points (-3,0), (0,9), and (3,0) graphed on a coordinate plane. x–4–4–4–2–2–2222444y–2–2–2222444666888101010000

6.

A parabola opening down with the points (-7,0), (-3,16), and (1,0) graphed on a coordinate plane. x–8–8–8–6–6–6–4–4–4–2–2–2222y–2–2–2222444666888101010121212141414161616000

7.

What are the -intercepts for the graphs in problems 1–6?

8.

In problems 1 and 2, the -intercept is just the product of the -intercepts. Why isn’t that the case for problems 3, 4, 5, and 6?

Set

9.

Complete the tables for and and .

a.

b.

c.

10.

What does it mean when ?

11.

Use the grid to graph , , and on the interval .

a blank coordinate plane –1–1–1111–1–1–1111000

Fill in the blanks with , , and to make a true statement.

12.

On the interval , .

13.

On the interval , .

14.

Use the grid to graph , , and on the interval . (Some values will go off the grid.)

a blank 17 by 17 grid

Go

Use the properties of exponents to multiply.

15.

16.

17.

Write the conjugate of each complex number.

18.

19.

20.