X= 4 , y = 5 , y’ = 6 . What’s x’ = ?

x' = 24/5

The rule for variable to variable' is multiply by 6/5, shown as y to y'

Good evening,

Step-by-step explanation:

f(x) = −16x2 + 60x + 16

Part A: x-intercepts

−16x2 + 60x + 16 = 0

⇔ -4(4x²-15x-4) = 0

⇔ -4[(4x²-16x) + (x-4)] = 0

⇔ -4[4x(x-4) + (x-4)] = 0

⇔ -4(x-4)(4x+1) = 0

⇔ x = 4 or x = -1/4

part B:

since the coefficient of -16x² is -16 which is negative number then the function has a maximum at the point ( -60/2(-16)  ,  f(-60/2(-16)) ) = (15/8 , 289/4).

partC:

first we plot the maximum point then plot x-intercepts 2 points

then we draw the graph.

look at the photo below for the graph.

:)