Question #ada2e

2 Answers
Nov 18, 2016

x = 4, in the negative y-direction.. See the middle of the graph for this axis

Explanation:

#y=-3x^2+24x-22# can be reorganized to the standard form

#(x-4)^2=-1/3(y-26)#

representing the parabola with vertex V(4, 26) and axis parallel to

negative y-axis along x = 4.

graph{y=-3x^2+24x-22 [-80, 80, -40, 40]}

Nov 18, 2016

#x = 4#

Explanation:

#y = -3x^2 +24x-22#

The formula to find the axis of symmetry of a parabola is:

#x = (-b)/(2a)#

#b= +24 and a = -3#

#x = (-24)/(2(-3)) = (-24)/(-6)#

#x = 4#