Illustrative Mathematics - Geometry - Unit 6 - Lesson 8 - Formative Library | Library

Classify the graph of the equation x^{2}+y^{2}-8x+4y=29.

circle

exponential curve

line

parabola

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

Write an equation that states (x,y) is the same distance from (4,1) as it is from the x-axis.

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

Select all equations which describe the parabola with focus (-1,-7) and directrix y=3

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

Parabola A and parabola B both have the x-axis as the directrix. Parabola A has its focus at (3,2) and parabola B has its focus at (5,4). Select all true statements.

Parabola B is wider than parabola A.

The line of symmetry of parabola B is to the right of that of 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.

Parabola A is wider than parabola B.

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

A parabola has focus (5,1) and directrix y=-3. Where is the parabola’s vertex?

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

Select the value needed in the box in order for the expression to be a perfect square trinomial.
x^{2}+7x+?

3.5

7

12.25

14.5

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

10.

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

A.SSE.3.a

A.SSE.3.b

G.GPE.2

A.SSE.3.c

This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/8/index.html ; accessed 29/July/2021.

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