Question

In the equation f(x) = (x + 3)2 - 2, the transformations of the graph are

a)A horizontal translation 3 units to the left and a vertical translation 2 units down.

b)A horizontal translation 3 units to the right and a vertical translation 2 units up.

c)A horizontal translation 3 units to the right and a vertical translation 2 units down.

d)A horizontal translation 3 units to the left and a vertical translation 2 units up.

Answer 1

• a) A horizontal translation 3 units to the left and a vertical translation 2 units down.

Explanation:

Given function:

• f(x) = (x + 3)² - 2

This is a transformation of:

• f(x) → f(x + 3) - 2

• + 3 represents horizontal translation 3 units left
• - 2 represents vertical translation 2 units down

Correct choice is a)