The transformation from graph of f to graph of g are
- A vertical stretch of -15
- Translation, 2 units to the left
- Translation, 1 units to the down
How to find the transformation
The given data are
f(x) = 1/5 x²
g(x) = -3 (x + 2)² - 1
from f(x) to g(x) will take the following steps
A vertical stretch of -15
f(x) = 1/5 x² → -15 * 1/5 x² → -3 x²
Translation, 2 units to the left
-3 x² → -3 (x + 2)²
Translation, 1 units to the down
-3 (x + 2)² → -3 (x + 2)² - 1