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9-12 Integrated Math 2 Unit 4 Lesson 19

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 •Lesson 19

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Lesson 19

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Unit 4, Lesson 19

Equations and Graphs

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Integrated Math 2

Practice

Problem 1

Classify the graph of the equation \(x^2+y^2-8x+4y=29\).

circle
exponential curve
line
parabola

Problem 2

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

Problem 3

Select all equations that describe the parabola with its focus \((\text- 1,\text- 7)\) and with \(y=3\) as its directrix.

\((x-1)^2+(y-7)^2=(y+3)^2\)
\((x+1)^2+(y+7)^2=(y-3)^2\)
\(y=\text{-}20(x+1)^2-2\)
\(y=\text{-}20(x+1)^2+2\)
\(y=\text{-}\frac{1}{20}(x+1)^2-2\)
\(y=\text{-}\frac{1}{20}(x+1)^2+2\)

Problem 4

ForLesson 18: Distances and Parabolas

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 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.

Problem 5

ForLesson 18: Distances and Parabolas

A parabola has its focus as \((5,1)\), and \(y = \text{-}3\) as its directrix. Where is the parabola’s vertex?