Answer:
Translation from (0,0) to (3,-3), 3 units down, and 3 units to the right.
Step-by-step explanation:
The Geometric Transformation called Translation of this parabola f(x)=x² is obtained, firstly by shifting it down 3 units simply adding -3 units as the independent term.
The Translation of the Parabola is counted by its vertex. y=x² (0,0) to y=x²-6x+6 (3,-3).
Algebraically:
So, f(x)=x² -3
Looking at g(x)=x²-6x+6, we still need to make it down after the curve intercept y-axis. b<0
Then, let's shift it three units to the right so its vertex hit the point 6, as y-coordinate, we have to add -3. If we want to add to the right sum negative value, then square it:
y= (x-3)²-3
y=x²-6x+9-3
y=x²-6x+6
