HELP!!

A parabola is defined by the equation
y=-x^2+8x-13
Determine the coordinates of the parabola vertex and draw the parabola.

A line l has the equation y=2x-8
Determine the coordinates of each of the intersections between the parabola and the line l

Question

HELP!!

A parabola is defined by the equation
y=-x^2+8x-13 
Determine the coordinates of the parabola vertex and draw the parabola.

A line l has the equation y=2x-8
Determine the coordinates of each of the intersections between the parabola and the line l

anonymous · Answer

$$
y=-(x^2 - 8 x) -13\
y=-(x^2 -8x + 16 -16)-13
y=-(x^2 -8x + 16) +16-13

y=-(x-4)^2+3
Vertex=(4, 3}
$$

anonymous · Answer

anonymous · Answer

@eliassaab where do you get 16 from?

anonymous · Answer

anonymous · Answer

To complete the square
$$
(x-4)^2 = x^2 -8x +16
$$
You have to add 16 and take away 16

anonymous · Answer

anonymous · Answer

Did you get it?

anonymous · Answer

@eliassaab no still extremely confused...