The turning point of the parabola is (64, -43)
<h3>What is a turning point?</h3>
Turning point is that point on a parabolic curve in which the gradient of the curve changes value.
It is also the point on the curve in which the curve starts rising or falling.
Analysis:
+ 43
27(x-64)(x-64) + 43
27( -64x -64x +4096) + 43
27 -3456x +110592 +43
27 -3456x +110635
at turning point dy/dx = 0
dy/dx = 54x - 3456
54x - 3456 = 0
54x = 3456
x = 3456/54 = 64
To find the value of y at x = 64
27 -3456(64) +110635
110592 - 221184 +110635 = -43
Therefore the turning point of the parabola is (64, -43)
Learn more about Turning point: brainly.com/question/11123173
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