The Cubing Function

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(4, −7)

The graph of the parent function f(x) = x3 is translated to form g(x) = (x - 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)

Graph the function f(x) = x3 - 4x - 1. Which are approximate solutions for x when f(x) = 0? Select three options.

-1.86 -0.25 2.11

The graph of the parent function f(x) = x3 is transformed such that . Which statements about the graph of g(x) are accurate? Select three options.

As x approaches negative infinity, the graph of g(x) approaches infinity. The domain of the function is all real numbers. The range of the function is all real numbers.

Which statements correctly describe the graph of the function f(x) = x3 - 2x2 - 19x + 20? Select three options

As x approaches negative infinity, y approaches negative infinity. The domain of the function is all real numbers. The graph has a positive y-intercept.

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

As x increases, y increases along the entire graph. As x increases, y increases, decreases, and then increases again. As x increases, y decreases, increases, and then decreases again. As x increases, y decreases along the entire graph.

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x - 1)3 + 2. Which is the graph of g(x), the translated function?

D

Which is the graph of the function f(x) = x3 + x2 + 4?

c

The parent function f(x) = x3 and a translation, g(x), are shown on the graph.Which represents g(x), the translated function?

g(x) = (x + 4)3 + 6

The graph of f(x) = x3 − 7x − 6 is shown Based on the graph, what are all of the solutions to f(x) = x3 − 7x − 6?

x=-2,-1,3