Answer:
Options 2 and 3 are correct
Step-by-step 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
