Unit 6, Lesson 8

Equations and Graphs

Geometry

Practice

Problem 1

Student Task Statement

Classify the graph of the equation .

Practice

circle
exponential curve
line
parabola

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Problem 2

Student Task Statement

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

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Problem 3

Student Task Statement

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

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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.

Parabola A is wider than parabola B.
Parabola B is wider than parabola A.
The parabolas have the same line of symmetry.
The line of symmetry of parabola A is to the right of that of parabola B.
The line of symmetry of parabola B is to the right of that of parabola A.

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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?

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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.

3.5
7
12.25
14.5

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Problem 7

ForLesson 5: Squares and Circles

Student Task Statement

Rewrite each expression as the product of 2 factors.

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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?

<p>Quadrilateral on grid with its longest side aligned with a bolded vertical grid line. Longest side is 6 units. Top side is 2. Right side is 3, followed by a diagonal side connecting to the long side.</p>

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Equations and Graphs

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Problem 8

Student Task Statement

Lesson 8 Resources