Answer:
- translation left 3 units and down 4 units
- y = (x +3)² -4
Step-by-step explanation:
You want to know the transformation and the equation for the given graph of a quadratic function.
Transformation
The vertex of a parent quadratic function y = x² is located at (0, 0). The vertex of the function shown on the graph is located at (-3, -4), representing translation left 3 units and down 4 units.
This transformation by right 'a' units and up 'b' units alters the equation to y = (x -a)² +b.
Here we have a=-3 and b=-4, so the equation of the graph is ...
y = (x +3)² -4
