Answer:
f(x) translated 3 units to the left and 8 units down, there is no reflection occurred
Step-by-step explanation:
* Lets revise some transformation for the functions
- 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
* Now lets study the problem
∵ g(x) = 2(x + 3)² - 8
# x + 3 ⇒ means f(x) translated 3 units to the left
# -8 ⇒ means f(x) translated 8 units down
# There is no reflection occurred
