AnswersMathematics IQuadratic Functions

Quadratic Functions — Test Answers

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A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph models the function?

A
Image with description On a coordinate plane, the x-axis ranges from negative 0.5 to 0.5 in increments of one-tenth, and the y-axis ranges from 0 to 1,000 in increments of 100. A smooth curve goes down and to the right and passes through the point negative 0.3 comma 500 and the labeled point 0 comma 2.
B
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 5 in increments of 1, and the y-axis ranges from 0 to 1,200 in increments of 100. A smooth curve goes down and to the right and passes through the point negative 9 comma 900 and the labeled point 9 comma 40.
C
Image with description On a coordinate plane, the x-axis ranges from negative 5 to 10 in increments of 1, and the y-axis ranges from 0 to 1,200 in increments of 100. A smooth curve goes up and to the right and passes through the labeled point 0 comma 40 and the point 9 comma 900.
D
Image with description On a coordinate plane, the x-axis ranges from negative 0.5 to 0.5 in increments of one-tenth, and the y-axis ranges from 0 to 1,000 in increments of 100. A smooth curve goes up and to the right and passes through the labeled point 0 comma 2 and the point 0.3 comma 500.
22
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Which is the graph of f of x is equal to x squared minus 2 x plus 3 ?

A
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2 comma 3), has a vertex at (negative 1 comma 2), and goes through (0 comma 3).
B
Image with description On a coordinate plane, a parabola opens up. It goes through (0 comma 3), has a vertex at (1 comma 2), and goes through (2 comma 3).
C
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).
D
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).
23

What is the vertex of the graph of the function f of x is equal to x squared plus 8 x minus 2 ?

A
negative 4 comma 18
B
0 comma negative 2
C
negative 4 comma negative 18
D
negative 8 comma negative 2
24

The axis of symmetry for a function in the form f of x is equal to x squared plus 4 x minus 5 is x is equal to negative 2 What are the coordinates of the vertex of the graph?

A
negative 9 comma negative 2
B
negative 2 comma negative 17
C
negative 17 comma negative 2
D
negative 2 comma negative 9
25

Which graph represents the function f of x is equal to negative x squared plus 5 ?

A
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).
B
Image with description On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4).
C
Image with description On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9).
D
Image with description On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9).

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