AnswersPrecalculusConic Sections

Conic Sections — Quiz Answers

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3

Consider the equation 1 fourth times open paren x minus 5 close paren is equal to open paren y minus 2 close paren squared What is the equation of the directrix?

A
x is equal to 4 point 9 3 7 5
B
x is equal to 4 point 0 0 0 0
C
x is equal to 4 point 7 5 0 0
D
x is equal to 4 point 6 2 5 0
7

Which graph represents the equation open paren x minus 3 close paren squared plus y squared is equal to 16 ?

A
Image with description On a coordinate plane, a circle has a center at (negative 3, 0) and radius 4.
B
Image with description On a coordinate plane, a circle has a center at (3, 0) and radius 4.
C
Image with description On a coordinate plane, a circle has a center at (3, 0) and radius 16.
D
Image with description On a coordinate plane, a circle has a center at (negative 3, 0) and radius 16.
8

The equation negative 1 half times open paren x plus 1 close paren is equal to open paren y minus 5 close paren squared is represented by which graph?

A
Image with description On a coordinate plane, a parabola opens to the left. It goes through (negative 9, 7), has a vertex at (negative 1, 5), and goes through (negative 9, 3).
B
Image with description On a coordinate plane, a parabola opens to the left. It goes through (negative 7, negative 3), has a vertex at (1, negative 5), and goes through (negative 7, negative 7).
C
Image with description On a coordinate plane, a parabola opens to the right. It goes through (9, negative 3), has a vertex at (1, negative 5), and goes through (9, negative 7).
D
Image with description On a coordinate plane, a parabola opens to the right. It goes through (7, 7), has a vertex at (negative 1, 5), and goes through (7, 3).
9

Consider the equation y minus 4 is equal to 2 times open paren x plus 3 close paren squared Where is the vertex located, and in which direction does the parabola open?

A
vertex: open paren negative 3 comma 4 close paren ; parabola opens to the right
B
vertex: open paren negative 3 comma 4 close paren ; parabola opens up
C
vertex: open paren 3 comma negative 4 close paren ; parabola opens up
D
vertex: open paren 3 comma negative 4 close paren ; parabola opens to the right
10

Which graph represents the equation y is equal to negative open paren x minus 1 close paren squared plus 1 ?

A
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2, 2), has a vertex at (negative 1, 1), and goes through (0, 2).
B
Image with description On a coordinate plane, a parabola opens up. It goes through (0, 2), has a vertex at (1, 1), and goes through (2, 2).
C
Image with description On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 1, 1), and goes through (0, 0).
D
Image with description On a coordinate plane, a parabola opens down. It goes through (0, 0), has a vertex at (1, 1), and goes through (2, 0).

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