Answer:
f(x) reflects across the x-axis and translate left 2 ⇒ 2nd answer
Step-by-step explanation:
* Lets talk about the transformation
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Lets solve the problem
∵ f(x) = x²
∵ The parent function is f(x) = - (x + 2)²
- There is a negative out the bracket means we change f(x) to -f(x)
∴ f(x) is reflected across the x-axis
- The x is changed to x + 2, that means we translate the f(x) to the
left two units
∵ x in f(x) is changed to (x + 2)
∴ f(x) is translated 2 units to the left
∴ f(x) reflects across the x-axis and translate left 2
