Unit 6, Lesson 8

Equations and Graphs

Geometry

Practice

1. Problem 1

   Student Task Statement

   Classify the graph of the equation .

   1. circle

   2. exponential curve

   3. line

   4. parabola

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2. Problem 2

   Student Task Statement

   Write an equation that states is the same distance from as it is from the -axis.

3. Problem 3

   Student Task Statement

   Select all equations that describe the parabola with its focus  and with  as its directrix.

4. Problem 4

   ForLesson 7: Distances and Parabolas

   Student Task Statement

   Parabola A and parabola B both have the -axis as the directrix. Parabola A has its focus at and parabola B has its focus at . Select all true statements.

5. Problem 5

   ForLesson 7: Distances and Parabolas

   Student Task Statement

   A parabola has its focus as , and  as its directrix. Where is the parabola’s vertex?

6. Problem 6

   ForLesson 6: Completing the Square

   Student Task Statement

   Select the value needed in the box in order for the expression to be a perfect square trinomial.

7. Problem 7

   ForLesson 5: Squares and Circles

   Student Task Statement

   Rewrite each expression as the product of 2 factors.

8. Problem 8

   ForLesson 15: Putting All the Solids Together

   Student Task Statement

   Suppose this two-dimensional figure is rotated 360 degrees around the vertical axis shown. Each small square on the grid represents 1 square inch. What is the volume of the three-dimensional figure?