Question

Which of the following functions has a graph with a vertex that is a translation 5 units to the right of the vertex of the graph of f(x)= (x + 2)2 + 2?

Answer 1

Explanation:

Step 1: To translate the vertex of the f(x) = (x + 2)2 + 2, you will subtract 5 inside of the parenthesis.

Note: Standard form of the function in vertex form:

f(x) = a(x ± h)² + k and the vertex is (±h, ±k). The vertex is the

opposite sign of the inside constant ( + 2) = -2 and the

constant outside to the right on the end (+ 2) = 2

Step 2: The vertex of the given function is (-2, 2).

Step 3: Subtract 5 inside the parenthesis: f(x) = (x + 2 - 5)2 + 2

Step 4: The function now becomes f(x) = (x - 3)2 + 2.

Step 5: Now, your vertex is (3, 2) which is a translation of 5 units right