Question

How do i find intercept form to this problem ?

Answer 1

C)
`y=-(x-5)(x-3)`

Explanation:

Expand

`y=-(x-4)^2+1\\\\y=-(x^2-8x+16)+1\\\\y=-x^2+8x-16+1\\\\y=-x^2+8x-15`

Factor

`y=-x^2+8x-15\\\\y=-(x^2-8x+15)\\\\y=-(x-5)(x-3)`

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