AnswersMathematics IQuadratic Functions: Factored Form

Quadratic Functions: Factored Form — Quiz Answers

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1
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Which is the graph of f of x is equal to open paren x minus 1 close paren times open paren x plus 4 close paren ?

A
Image with description On a coordinate plane, a parabola opens down. It goes through negative 4 comma 0, has a vertex at negative 1 point 7 5 comma 6 point 2, and goes through 1 comma 0.
B
Image with description On a coordinate plane, a parabola opens up. It goes through negative 4 comma 0, has a vertex at negative 1 point 7 5 comma negative 6 point 2, and goes through 1 comma 0.
C
Image with description On a coordinate plane, a parabola opens up. It goes through negative 1 comma 0, has a vertex at 1 point 7 5 comma negative 6 point 2, and goes through 4 comma 0.
D
Image with description On a coordinate plane, a parabola opens down. It goes through negative 1 comma 0, has a vertex at 1 point 7 5 comma 6 point 2, and goes through 4 comma 0.
2
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What is the y -intercept of the quadratic function f of x is equal to open paren x minus 8 close paren times open paren x plus 3 close paren ?

A
0 comma negative 24
B
8 comma 0
C
0 comma 3
D
negative 5 comma 0
3

What is the y -intercept of the quadratic function f of x is equal to open paren x minus 6 close paren times open paren x minus 2 close paren ?

A
0 comma negative 6
B
negative 8 comma 0
C
0 comma 12
D
2 comma 0
4

What is the axis of symmetry of the function f of x is equal to negative open paren x plus 9 close paren times open paren x minus 21 close paren ?

A
x is equal to negative 15
B
x is equal to 15
C
x is equal to 6
D
x is equal to negative 6
5

Which point is an x -intercept of the quadratic function f of x is equal to open paren x plus 6 close paren times open paren x minus 3 close paren ?

A
0 comma 6
B
negative 6 comma 0
C
0 comma negative 6
D
6 comma 0
6

Which is the graph of f of x is equal to negative open paren x plus 3 close paren times open paren x plus 1 close paren ?

A
Image with description On a coordinate plane, a parabola opens up. It goes through 0 comma 3, has a vertex at 2 comma negative 1, and goes through 4 comma 3.
B
Image with description On a coordinate plane, a parabola opens down. It goes through 0 comma negative 3, has a vertex at 2 comma 1, and goes through 4 comma negative 3.
C
Image with description On a coordinate plane, a parabola opens up. It goes through negative 4 comma 3, has a vertex at negative 2 comma negative 1, and goes through 0 comma 3.
D
Image with description On a coordinate plane, a parabola opens down. It goes through negative 3 comma 0, has a vertex at negative 2 comma 1, and goes through negative 1 comma 0.
7

Which function has a vertex at the origin?

A
f of x is equal to open paren x plus 4 close paren squared
B
f of x is equal to open paren x minus 4 close paren times open paren x plus 4 close paren
C
f of x is equal to negative x squared
D
f of x is equal to x times open paren x minus 4 close paren
8

What is the equation of the quadratic function with a vertex at 2 comma negative 25 and an x -intercept at 7 comma 0 ?

A
f of x is equal to open paren x plus 2 close paren times open paren x plus 7 close paren
B
f of x is equal to open paren x plus 3 close paren times open paren x minus 7 close paren
C
f of x is equal to open paren x minus 3 close paren times open paren x plus 7 close paren
D
f of x is equal to open paren x minus 2 close paren times open paren x minus 7 close paren
9

What is the y -value of the vertex of the function f of x is equal to negative open paren x plus 8 close paren times open paren x minus 14 close paren ?

A
3
B
112
C
6
D
121
10

What is the midpoint of the x -intercepts of f of x is equal to open paren x minus 2 close paren times open paren x minus 4 close paren ?

A
1 comma 0
B
3 comma 0
C
negative 1 comma 0
D
negative 3 comma 0

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