AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYQuadratic Functions: Standard Form

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1
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What is the y -intercept of the graph of the function f of x is equal to x squared plus 3 x plus 5 ?

A
0 comma 5
B
0 comma negative 5
C
0 comma negative 3
D
0 comma 3
2
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The axis of symmetry for the graph of the function f of x is equal to 1 fourth x squared plus b x plus 10 is x is equal to 6 What is the value of b ?

A
3
B
1 half
C
negative 3
D
negative 12
3

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 A coordinate plane with a parabola. The x and y axes are labeled form negative 10 to 10 in increments of 2. The parabola opens upward, passes through approximately the point negative 8 comma 10, has a vertex at approximately negative 2 comma negative 8, crosses the y-axis at the point 0 comma negative 6, and passes through approximately the point 4 comma 10.
B
Image with description A coordinate plane with a parabola. The x and y axes are labeled from negative 10 to 10 in increments of 2. The parabola opens upward, crosses the x-axis at two points, and has a vertex below the x-axis.
C
Image with description A coordinate plane with a parabola. The x and y axes are labeled form negative 10 to 10 in increments of 2. The parabola opens upward, passes through the point negative 6 comma 0, has a vertex at negative 2 comma negative 8, and passes through the point 2 comma 0.
D
Image with description A coordinate plane with a parabola. The x and y axes are labeled form negative 10 to 10 in increments of 2. The parabola opens upward, passes through the point negative 8, comma negative 6, has a vertex at negative 4, comma negative 10, and passes through the point 4, comma 6.
4

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

A
Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola has its vertex near negative 1 comma 1, with the curve extending upward to the left toward approximately negative 3 comma 4 and upward to the right toward approximately 0 comma 3.
B
Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola has its vertex near 0 comma negative 3, with the curve extending upward to the left toward approximately negative 2 comma 4 and upward to the right toward approximately 2 comma 4.
C
Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola has its vertex near 3 comma 0, with the curve extending upward to the left toward approximately 0 comma 4 and upward to the right toward approximately 5 comma 4.
D
Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola has its vertex near negative 3 comma 0, with the curve extending upward to the left toward approximately negative 5 comma 4 and upward to the right toward approximately negative 1 comma 4.
5

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 3 x minus 3 Image with description A coordinate plane with a parabola. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 10 to 10 in increments of 2. A parabola opens upward with its vertex at approximately the point 2 comma negative 6, with the left side rising to approximately the point negative 2 comma 4 with an arrow and the right side rising to approximately the point 6 comma 4 with an arrow, indicating the parabola continues beyond the top of the plane in both directions.
B
f of x is equal to x squared plus 6 x plus 3 Image with description A coordinate plane with a parabola. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 10 to 10 in increments of 2. A parabola opens upward with its vertex at approximately the point negative 2 comma negative 6, with the left side rising to approximately the point negative 6 comma 4 with an arrow and the right side rising to approximately the point 2 comma 4 with an arrow, indicating the parabola continues beyond the top of the plane in both directions.
C
f of x is equal to x squared minus 6 x minus 1 Image with description A coordinate plane has both x and y axes labeled from negative 10 to 10. A curve is plotted that passes through the point 0 comma negative 1, and has a vertex at 3 comma negative 10, and increases to 6 coma 0.
D
f of x is equal to x squared plus 3 x plus 1 Image with description A coordinate plane with a parabola. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 10 to 10 in increments of 2. A parabola opens upward with its vertex at approximately the point negative 2 comma 0 on the x-axis, with both sides rising steeply, the left side extending to approximately the point negative 6 comma 10 with an arrow and the right side extending to approximately the point 2 comma 10 with an arrow, indicating the parabola continues beyond the top of the plane in both directions.
6

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 axis of symmetry is to the left of zero.
B
The vertex is a maximum.
C
The y -intercept is negative.
D
The x -intercepts are negative.
7

The axis of symmetry for the graph of the function f of x is equal to 3 x squared plus b x plus 4 is x is equal to 3 halves What is the value of b ?

A
negative 18
B
18
C
negative 9
D
9
8

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 increasing over the interval negative infinity comma negative 2 .
C
The range is start set y such that y is less than or equal to 6 end set .
D
The function is decreasing over the interval negative 4 comma infinity .
E
The function has a positive y -intercept.
9

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 function will always have a minimum.
B
The y -intercept will always be the vertex.
C
The axis of symmetry will always be positive.
D
The graph will always have zero x -intercepts.
10

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

A
Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. A downward-opening parabola is plotted that passes through the point 2 comma negative 2, has a vertex at the point 4 comma 2, and passes through the point 6 comma negative 2.
B
Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. A downward-opening parabola is plotted that passes through the point negative 6 comma negative 2, has a vertex at the point negative 4 comma 2, and passes through the point negative 2 comma negative 2.
C
Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. An upward-opening parabola is plotted that passes through the point negative 6 comma 6, has a vertex at the point negative 4 comma 2, and passes through the point negative 2 comma 6.
D
Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. An upward-opening parabola is plotted that passes through the point 2 comma 6, has a vertex at the point 4 comma 2, and passes through the point 6 comma 6.

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