What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

The correct answer is:  [C]:  " (0, 24) " .


Explanation:


Given the quadratic function:


          →  "  y = (x − 8) (x + 3) "  ;   ←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".


→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

          →   y = (-8) * (3)  ;  
 
          →   y = - 24 ; 


So, the "y -intercept" of the given quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;

  →  which is:  Answer choice:  [C]:  " (0, - 24) " .