AnswersAlgebra IQuadratic Functions: Standard Form

Quadratic Functions: Standard Form — Quiz Answers

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Tempestt graphs a function that has a maximum located at negative 4 comma 2 Which could be her graph?

A
Image with description On a coordinate plane, a parabola opens up. It goes through (2 comma 6), has a vertex at (4 comma 2), and goes through (6 comma 6).
B
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 6 comma 6), has a vertex at (negative 4 comma 2), and goes through (negative 2 comma 6).
C
Image with description On a coordinate plane, a parabola opens down. It goes through (2 comma negative 2), has a vertex at (4 comma 2), and goes through (6 comma negative 2).
D
Image with description On a coordinate plane, a parabola opens down. It goes through (negative 6 comma negative 2), has a vertex at (negative 4 comma 2), and goes through (negative 2 comma negative 2).
3

The graph of which function has an axis of symmetry at x is equal to 3 ?

A
f of x is equal to x squared minus 6 x minus 1 Image with description On a coordinate plane, a parabola opens up. It goes through (0 comma negative 1), has a vertex at (3 comma negative 10), and goes through (6 comma 0).
B
f of x is equal to x squared plus 3 x plus 1 Image with description On a coordinate plane, a parabola opens up. It goes through (negative 4 comma 5), has a vertex at (negative 1 point 75 comma 6 point 75), and goes through (1 comma 5).
C
f of x is equal to x squared plus 6 x plus 3 Image with description On a coordinate plane, a parabola opens up. It goes through (negative 6 comma 3), has a vertex at (negative 3 comma negative 6), and goes through (0 comma 3).
D
f of x is equal to x squared minus 3 x minus 3 Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2 comma 7), has a vertex at (1 point 75 comma 5), and goes through (5 comma 7).
4

For all functions of the form f of x is equal to A x squared plus b x plus c , which is true when b is equal to 0 ?

A
The graph will always have zero x -intercepts.
B
The axis of symmetry will always be positive.
C
The y -intercept will always be the vertex.
D
The function will always have a minimum.
5

The A value of a function in the form f of x is equal to a x squared plus b x plus c is negative. Which statement must be true?

A
The x -intercepts are negative.
B
The axis of symmetry is to the left of zero.
C
The vertex is a maximum.
D
The y -intercept is negative.
6

The graph of which function has a y -intercept of 3 ?

A
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 4 comma 5), has a vertex at (negative 1 comma negative 4), and goes through (2 comma 5).
B
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 5 comma 4), has a vertex at (negative 3 comma 0), and goes through (negative 1 comma 4).
C
Image with description On a coordinate plane, a parabola opens up. It goes through (1 comma 4), has a vertex at (3 comma 0), and goes through (5 comma 4).
D
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 3 comma 3), has a vertex at (negative 1 point 5 comma 0 point 75), and goes through (0 comma 3).
7

Which statements about the graph of the function f of x is equal to negative x squared minus 4 x plus 2 are true? Choose three correct answers.

A
The domain is start set x such that x is less than or equal to negative 2 end set .
B
The function is decreasing over the interval negative 4 comma infinity .
C
The range is start set y such that y is less than or equal to 6 end set .
D
The function has a positive y -intercept.
E
The function is increasing over the interval negative infinity comma negative 2 .
8

Which is the graph of the function f of x is equal to 1 half x squared plus 2 x minus 6 ?

A
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 6 comma 0), has a vertex at (negative 2 comma negative 8), and goes through (2 comma 0).
B
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 8 comma negative 6), has a vertex at (negative 4 comma negative 10), and goes through (4 comma 6).
C
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2 comma 0), has a vertex at (2 comma negative 8), and goes through (6 comma 0).
D
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 4 comma 6), has a vertex at (4 comma negative 10), and goes through (8 comma negative 6).

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