Lesson 2Getting CenteredSolidify Understanding

Figure 1 shows the graph of the function .

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.

4.

looks like Figure 3.

Set

5.

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

6.

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

7.

Write the equation of .

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

Then write it in general form: .

Solve for .