Which best describes the transformation that occurs from
the graph of f(x) = x to g(x) = (x + 3)2 +4?
g(x)-16
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
+
2+
f(x
+
-10 -8
6
2
1
2
4
6
8
10 x
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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

b

step-by-step explanation:

answer: 1+1

step-by-step explanation: 1+1 is at least 2