Find the x- and y-intercepts. If no x-intercepts exist, state so.
-$$f ( x ) = - x ^ { 2 } + 15 x - 56$$
A) $( 7,0 ) , ( 8,0 ) , ( 0 , - 56 )$
B) $( 7,0 ) , ( 8,0 ) , ( 0,7 )$
C) $( - 7,0 ) , ( - 8,0 ) , ( 0 , - 56 )$
D) No x-intercepts, $( 0,7 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$:$$0 = -x^2 + 15x - 56$$$$x^2 - 15x + 56 = 0$$Factoring the quadratic equation:$$(x - 7)(x - 8) = 0$$Thus, $x = 7$ and $x = 8$ are the x-intercepts, so $(7,0)$ and $(8,0)$ are correct.To find the y-intercept, set $x = 0$:$$f(0) = -(0)^2 + 15(0) - 56 = -56$$Therefore, the y-intercept is $(0, -56)$.

Find the X- and Y-Intercepts f(x)=−x2+15x−56f ( x ) = - x ^ { 2 } + 15 x - 56f(x)=−x2+15x−56

Find the X- and Y-Intercepts $f ( x ) = - x ^ { 2 } + 15 x - 56$