Lesson 2 Getting Centered Solidify Understanding

Ready

Figure 1 shows the graph of the function .

graph with cubed root of x. x–2–2–2222y222000figure 1

Write the equation for each transformation of .

1.

is moved to the left and up . It also undergoes a vertical stretch by a factor of .

2.

is moved to the left and up . It also undergoes a vertical stretch by a factor of .

For problems 3 and 4, use the graph to write the equation of the transformed function.

3.

looks like Figure 2.

A graph of cubed root of x after a transformation. x–2–2–2222y222000figure 2

4.

looks like Figure 3.

A graph of cubed root of x after a transformation. x–2–2–2–1–1–1111222y–2–2–2–1–1–1111222000figure 3

Set

5.

Write the equation of a circle congruent to with center at point .

Circle C; Point C(0,0) with radius 4 and point P (5,6). x–5–5–5555y–5–5–5555000

6.

Write the equation of a circle centered at and with a radius equal to the hypotenuse of .

Right triangle ABC with BC radical 11 and CA radical 38

7.

Write the equation of .

Circle V; V(-6,9) and Point W(-10,12) on the circle.

Write the equation of the circle with the given center and radius.

Then write it in general form: .

8.

Center: Radius:

9.

Center: Radius:

10.

Center: Radius:

11.

Center: Radius:

12.

Center: Radius:

13.

Center: Radius:

Go

Solve for .

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