WILL MARK BRAINLIEST IF GOTTEN RIGHT

C

Step-by-step explanation:

Using Pythagoras' identity in right triangle BPO

with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )

OP² + 4² = 5²

OP² + 16 = 25 ( subtract 16 from both sides )

OP² = 9 ( take the square root of both sides )

OP = = 3

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

it is true

step-by-step explanation:

all the combinations add up i used   calculator