Question

The function (x)=(x+2)^2-4

Answer 1

Options 2 and 3 are correct

Explanation:

Let's graph the parent function and the new function

• Parent function: f(x) = x²
• New function: g(x) = (x+2)² - 4

The parent function is in red

The new function is in blue

Let's go through the options given

• 1) This is incorrect. The function g(x) is being translated 2 units to the left and 4 units down
• 2)This is correct. It is the correct translation.
• 3) It's correct. The "u" part of the graph faces up, or the sides go up.
• 4) Incorrect. The graph opens upwards, not downwards.
• 5) Nope. The graph is being translated, not dilated.

-Chetan K