Write the quadratic function in the form f (x) = a (x - h) ^2 + k . then, give the vertex of its graph. f (x) = -x ^2 + 8x -12
writing in the form specified: f (x) =
vertex: ( _ , _ )

Complete the square

first group the x terms
f(x)=(-x²+8x)-12
facotr out quadratic coefient (number in front of the x² term is -1)
f(x)=-1(x²-8x)-12
take 1/2 of linear coefient and square it
-8/2=-4, (-4)²=16
add positive and negative inside parentahsees
f(x)=-1(x²-8x+16-16)-12
factor perfect square
f(x)=-1((x-4)²-16)-14
expand
f(x)=-1(x-4)²+16-14
f(x)=-1(x-4)²+2

vertex is (4,2)
vertex form is f(x)=-1(x-4)²+2
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Hi! mark me brainliest if i : )y = 0.213x – 352.0    represents this linear model shown in the data table.plug in the values of x into the equation for a double check.let's try 1980.y = 0.213(1980) – 352.0y = 69.74which is closest to the 70.1 whereas other options do not satisfy the condition. 

i believe your answer is b.

good luck!

cutie~