Question

Which of the following represents a cube root function translated down 2 and right 3?

a. y = ∛(x - 2) + 3
b. y = ∛(x - 2) + 3
c. y = ∛(x - 3 - 2)

Answer 1

a. y = ∛(x - 2) + 3. The cube root function translated down 2 and right 3 is represented by the equation y = ∛(x - 2) + 3.

Step-by-step explanation:

The correct answer is a. y = ∛(x - 2) + 3.

A cube root function is in the form y = ∛(x - h) + k, where (h, k) represents the translation. In this case, the translation is down 2, which means the value of k is 3, and right 3, which means the value of h is 2. Therefore, the correct equation is y = ∛(x - 2) + 3.

For example, if we plug in x = 5, the original cube root function would give us y = ∛(5), but with the translation, the equation becomes y = ∛(5 - 2) + 3 = ∛3 + 3, which is the value of y.

Answer 2

a. y = ∛(x - 2) + 3. The cube root function translated down 2 and right 3 is represented by the equation y = ∛(x - 2) + 3.

Step-by-step explanation:

The correct answer is a. y = ∛(x - 2) + 3.

A cube root function is in the form y = ∛(x - h) + k, where (h, k) represents the translation. In this case, the translation is down 2, which means the value of k is 3, and right 3, which means the value of h is 2. Therefore, the correct equation is y = ∛(x - 2) + 3.

For example, if we plug in x = 5, the original cube root function would give us y = ∛(5), but with the translation, the equation becomes y = ∛(5 - 2) + 3 = ∛3 + 3, which is the value of y.

Answer 3

a. y = ∛(x - 2) + 3. The cube root function translated down 2 and right 3 is represented by the equation y = ∛(x - 2) + 3.

Step-by-step explanation:

The correct answer is a. y = ∛(x - 2) + 3.

A cube root function is in the form y = ∛(x - h) + k, where (h, k) represents the translation. In this case, the translation is down 2, which means the value of k is 3, and right 3, which means the value of h is 2. Therefore, the correct equation is y = ∛(x - 2) + 3.

For example, if we plug in x = 5, the original cube root function would give us y = ∛(5), but with the translation, the equation becomes y = ∛(5 - 2) + 3 = ∛3 + 3, which is the value of y.