The graph of the parent function f of x is equal to x cubed is translated to form the graph of g of x is equal to open paren x minus 1 close paren cubed plus 2 Which is the graph of g of x , the translated function?
Answer
A
Image with description A coordinate plane with an S-shaped curve. 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 curve extends from the upper portion of the plane near x equals 0 and y equals 4, descending steeply with a negative slope through the center of the plane near the origin, and continuing downward with a decreasing negative slope. The upper end of the curve ends with an arrow pointing upward near 0 comma 4 and the lower end ends with an arrow pointing downward near negative 2 comma negative 5.
B
Image with description A coordinate plane with an S-shaped curve. 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 curve extends from the upper-center area of the plane near negative 2 comma 4 and descends with a steep negative slope through the center-left area of the plane, continuing downward with a decreasing negative slope toward the lower portion of the plane. The upper end of the curve ends near negative 2 comma 4 and the lower end ends with an arrow pointing downward near negative 3 comma negative 5.
C
Image with description A coordinate plane with an S-shaped curve. 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 curve extends from the lower portion of the plane near negative 1 comma negative 5 and rises steeply with a positive slope through the center area near the y-axis, continuing upward with a decreasing positive slope toward the upper-right area near 1 comma 4. The lower end ends with an arrow pointing downward near negative 1 comma negative 5 and the upper end ends with an arrow pointing upward near 1 comma 4.
D
Image with description A coordinate plane with an S-shaped curve. 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 curve extends from the lower-right area of the plane near 0 comma negative 5 and rises steeply with a positive slope through the center-right area of the plane, continuing upward with a decreasing positive slope toward the upper-right area near 4 comma 5. The lower end ends with an arrow pointing downward near 0 comma negative 5 and the upper end ends with an arrow pointing upward near 4 comma 5.