Question 6 • CMS 2026-2027 NC Math 3 CREDIT RECOVERY
Which of the following is the graph of y is equal to negative open paren x minus 2 close paren cubed minus 5 ?
Answer
A
Image with description On a coordinate plane, the scale on the x axis range from negative 5 to 5 in increments of 1, and the scale on the y axis range from negative 10 to 0 in increments of 1. The curve lies in the 3rd quadrant and passes through points (negative 3 point 5 comma negative 3) and (negative 1 comma negative 6). It has the point of inflection at (negative 2 comma negative 5).
B
Image with description A coordinate plane with a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 10 to negative 1 in increments of 1 with a jagged axis break line above negative 1. The graph consists of a continuous curve that enters from the bottom with an arrow pointing downward near negative 3.5 comma negative 10, curves upward to flatten out horizontally at negative 2 comma negative 5, and continues curving upward to the right, ending with an arrow pointing upward near negative 0.5 comma negative 1.
C
Image with description On a coordinate plane, the scale on the x axis ranges from negative 5 to 5 in increments of 1, and the scale on the y axis ranges from negative 10 to 0 in increments of 1. The curve lies in the 4th quadrant and passes through points (3 point 5 comma negative 2) and (1 comma negative 7). It has the point of inflection at (2 comma negative 5).
D
Image with description On a coordinate plane, the scale on the x axis ranges from negative 5 to 5 in increments of 1, and the scale on the y axis ranges from negative 10 to 0 in increments of 1. The curve lies in the 4th quadrant and passes through points (1 comma negative 3) and (4 comma negative 9). It has the point of inflection at (2 comma negative 5).