Max rewrote the function f(x) = 4x^2 + 16x + 8 in vertex form by completing the square. He concluded that the vertex is (-2,4), which was incorrect. Consider Max's work, listed below.

In which step did Max make a mistake?

Step 1:f(x) = 4x^2 + 16x +8

Step 2:f(x) = 4(x^2 +4x) + 8

Step 3:f(x) = 4(x^2 + 4x + 4) + 8 – 4

Step 4:f(x) = 4(x + 2)^2 + 4

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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