Question

Pls check screenshot 50 points

Answer 1

See below

Explanation:

Part (a)

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

Part (b)

f(x) has vertex (-1, 2)

The function y = f(-x) + 2 will have the vertex changed as per rule:

• (x, y) → (-x, y + 2)

So the new vertex is:

• (-1, 2) → (-(-1), 2 + 2) = (1, 4)