Answer:
x-intercepts are (3,0) and (-2, 0).
The y-intercept is (0, -6).
Vertex is (0.5, -6.25).
Step-by-step explanation:
6 = x^2 - x
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3, -2 so the x-intercepts are (3, 0) and (-2, 0).
The y-intercept occurs when x = 0, so
y = (0)^2 - (0) - 6 = -6.
The y-intercept is (0, -6).
The coordinate of the vertex is -b/2a = -(-1) / 2 = 0.5.
When x = 0.5, f(x) = (0.5)^2 - 0.5 - 6 = -6.25.
So the vertex is at (0.5, -6.25).
