Lesson 6 Turn It Around Practice Understanding

Ready

Use the distance formula to find $A B + B C$ . Leave in radical form.

1.

2.

3.

Set

The focus, $F$ , and the equation of the directrix are given. The coordinates for points $M$ and $W$ are also given. Make a sketch of the given information. Then use the diagram and the distance formula to prove that points $M$ and $W$ lie on the same parabola.

4.

focus: $F (1, 0)$
directrix: $x = - 1$
$M$ : $(1, - 2)$ $W$ : $(4, 4)$

5.

focus: $F (- 3, 3)$
directrix: $x = 1$
$M$ : $(- 3, - 1)$ $W$ : $(- 9, 11)$

6.

focus: $F (7, - 5)$
directrix: $x = 9$
$M$ : $(4, - 1)$ $W$ : $(- 1, 1)$

7.

focus: $F (5, 3)$
directrix: $x = - 1$
$M$ : $(5, - 3)$ $W$ : $(10, 3 + 4 \sqrt{6})$

Go

Use the given information to write the equation of the circle.

8.

Center: $(- 5, - 8)$ , Radius: $11$

9.

Endpoints of the diameter: $(6, 0)$ and $(2, - 4)$

10.

Center: $(- 5, 4)$ Point on the circle: $(- 9, 1)$

11.

Equation of the circle in the diagram: