Find any x- or y-intercepts for the graph of the equation $y = x ^ { 2 } - 8 x + 12$ .
A)x-intercepts: (0, 12)y-intercepts: (2, 0), (6, 0)
B)x-intercepts: (-2, 0), (-6, 0)y-intercepts: (0, 12)
C)x-intercepts: (2, 0), (6, 0)y-intercepts: none
D)x-intercepts: (0, 2), (0, 6)y-intercepts: (12, 0)
E)x-intercepts: (2, 0), (6, 0)y-intercepts: (0, 12)

Question

Find any x- or y-intercepts for the graph of the equation $y = x ^ { 2 } - 8 x + 12$ .  
A)x-intercepts: (0, 12)y-intercepts: (2, 0), (6, 0)
B)x-intercepts: (-2, 0), (-6, 0)y-intercepts: (0, 12)
C)x-intercepts: (2, 0), (6, 0)y-intercepts: none
D)x-intercepts: (0, 2), (0, 6)y-intercepts: (12, 0)
E)x-intercepts: (2, 0), (6, 0)y-intercepts: (0, 12)

Quizplus · Accepted Answer

To find the y-intercept, set $x = 0$: $y = 0^2 - 8(0) + 12 = 12$, so the y-intercept is (0, 12). To find the x-intercepts, set $y = 0$: $0 = x^2 - 8x + 12$. Factoring the quadratic equation gives $(x-2)(x-6) = 0$, so $x = 2$ and $x = 6$, meaning the x-intercepts are (2, 0) and (6, 0).

Find Any X- or Y-Intercepts for the Graph of the Equation