Answer:
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