Practice Test

Question 5 • Algebra II

Which graph represents y is equal to cube root of x plus 2 ?

Answer

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 comma 2).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 9 comma negative 2), (negative 2 comma 0), and (7 comma 2).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 4), (0 comma negative 2), and (8 comma 0). The curve has a point of inflection at (0 comma negative 2).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 6 comma negative 2), (0 comma negative 1), and (8 comma 2). The curve has a point of inflection at (2 comma 0).

Explanation

The graph of y = ∛x + 2 is the graph of y = ∛x shifted up 2 units. For example, when x = −8, y = −2 + 2 = 0; when x = 0, y = 2; and when x = 8, y = 2 + 2 = 4. Choice B passes through these points and has its inflection point at (0, 2).

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