What is the directrix of the parabola given by the equation y = –5x2 + 60x – 176?

The directrix of the parabola given by the equation y = –5x2 + 60x – 176 is y = 4 1/20 because finishing the square will give us y = -5(x^2 - 12x + 36) + 180 - 176 = -5(x-6)^2 + 4. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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

idk im srry

step-by-step explanation: