Answer:
C) [tex]y=-(x-5)(x-3)[/tex]
Step-by-step explanation:
Expand
[tex]y=-(x-4)^2+1\\\\y=-(x^2-8x+16)+1\\\\y=-x^2+8x-16+1\\\\y=-x^2+8x-15[/tex]
Factor
[tex]y=-x^2+8x-15\\\\y=-(x^2-8x+15)\\\\y=-(x-5)(x-3)[/tex]
This tells us that the x-intercepts of the function are x=5 and x=3 when y=0.
Therefore, C is the correct answer
