Answer:
Step-by-step explanation:
y = (x-3)²-1
This is the equation for an up-opening parabola with vertex (3,-1).
Find the x-intercepts:
0 = (x-3)²-1
(x-3)² = 1
x-3 = ±1
x = 4, 2
The graph crosses the x-axis at (4,0) and (2,0).
Find the y-intercept:
y = (0-3)²-1 = 8
The graph crosses the y-axis at (0,8).
Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.
