The parent function is y = x²
If we vertically stretch it by a factor of 3, then we get to y = 3x²
So it's 3 times taller than it used to be. A point like (2,4) moves to (2,12) after applying this vertical stretch. Because it's stretched vertically, it becomes more narrow in the horizontal direction.
If we then shift that down by 2 units, then we arrive at the equation y = 3x²-2
So to summarize, we applied these two transformations:
- Vertically stretch by a factor of 3
- Shift down 2 units
The graph is shown below.
