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

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1
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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 A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 6 to 6 in increments of 2. The parabola has its vertex near negative 2 comma 0, with the curve extending upward to the left with an arrow toward approximately negative 5 comma 6 and upward to the right with an arrow toward approximately 0 comma 6.
B
Image with description A coordinate plane with a parabola opening downward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 6 to 6 in increments of 2. The parabola has its vertex near negative 2 comma 1, with the curve extending downward to the left with an arrow toward approximately negative 5 comma negative 6 and downward to the right with an arrow toward approximately 0 comma negative 6.
C
Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 6 to 6 in increments of 2. The parabola has its vertex near 2 comma 1, with the curve extending upward to the left with an arrow toward approximately 0 comma 5 and upward to the right with an arrow toward approximately 4 comma 5.
D
Image with description A coordinate plane with a parabola opening downward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 4 to 6 in increments of 2. The parabola has its vertex near 2 comma 1, with the curve extending downward to the left with an arrow toward approximately 0 comma negative 4 and downward to the right with an arrow toward approximately 4 comma negative 4.
2
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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 15
B
x is equal to 6
C
x is equal to negative 15
D
x is equal to negative 6
3

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 minus 2 close paren times open paren x minus 7 close paren
B
f of x is equal to open paren x minus 3 close paren times open paren x plus 7 close paren
C
f of x is equal to open paren x plus 3 close paren times open paren x minus 7 close paren
D
f of x is equal to open paren x plus 2 close paren times open paren x plus 7 close paren
4

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
6
C
121
D
112
5

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 A coordinate plane with downward-opening parabola. Both the axis are labeled from negative 6 to 6 with increments of 2. The curve represents a quadratic function with its maximum vertex located at the coordinate points 1 point 5 comma 6 point 2 5. Moving symmetrically outward from this vertex, the parabola crosses the vertical axis at a y-intercept of 0 comma 4 and intersects the horizontal axis at 2 x-intercepts located at negative 1 comma 0 and 4 comma 0. The two arms of the curve extend downward into the lower quadrants, passing perfectly through the grid line intersections at negative 2 comma negative 6 and 5 comma negative 6.
B
Image with description A coordinate plane with upward-opening parabola. Both the axis are labeled from negative 6 to 6 with increments of 2. The curve represents a quadratic function with its minimum vertex located at the coordinate points negative 1 point 5 comma negative 6 point 2 5. Moving symmetrically outward from this vertex, the parabola crosses the vertical axis at a y-intercept of 0 comma negative 4 and intersects the horizontal axis at two x-intercepts located at negative 4 comma 0 and 1 comma 0. The two arms of the curve extend upward into the upper quadrants, passing through the grid line intersections at negative 5 comma 6 and 2 comma 6.
C
Image with description A coordinate plane with downward-opening parabola. Both the axis are labeled from negative 6 to 6 with increments of 2. The curve represents a quadratic function with its maximum vertex located at the coordinate points negative 1 point 5 comma 6 point 2 5. Moving symmetrically outward from this vertex, the parabola crosses the vertical axis at a y-intercept of 0 comma 4 and intersects the horizontal axis at two x-intercepts located at negative 4 comma 0 and 1 comma 0. The two arms of the curve extend downward into the lower quadrants, passing through the grid line intersections at negative 5 comma negative 6 and 2 comma negative 6.
D
Image with description A coordinate plane with upward-opening parabola. Both the axis are labeled from negative 6 to 6 with increments of 2. The curve represents a quadratic function with its minimum vertex located at the coordinate points 1 point 5 comma negative 6 point 2 5. Moving symmetrically outward from this vertex, the parabola crosses the vertical axis at a y-intercept of 0 comma negative 4 and intersects the horizontal axis at two x-intercepts located at negative 1 comma 0 and 4 comma 0. The two arms of the curve extend upward into the upper quadrants, passing through the grid line intersections at negative 2 comma 6 and 5 comma 6.
6

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 negative 6
B
0 comma 6
C
6 comma 0
D
negative 6 comma 0
7

Which function has a vertex at the origin?

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

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 3
B
8 comma 0
C
negative 5 comma 0
D
0 comma negative 24
9

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
3 comma 0
B
1 comma 0
C
negative 1 comma 0
D
negative 3 comma 0
10

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

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