Question

Integrated Math 1 B Semester Exam
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Question
A function is graphed on a four quadrant coordinate plane. The x-axis goes from negative 6 to 8 in increments of 1 and the y-axis goes from negative 8 to 6 in increments of 1. A U-shaped curve that opens downwards has vertex (3, 4) and passes through (1, 0) and (5, 0).

The graph of f(x) is given above. Which of the following functions increase or decrease as f(x) does over (−∞, 3) and (3, ∞)? Select the two correct answers.

(1 point)
Responses

g(x)=−|x−3|
g left parenthesis x right parenthesis equals negative start absolute value x minus 3 end absolute value

g(x)=x−3
g left parenthesis x right parenthesis equals x minus 3

g(x)=(x−3)2
g left parenthesis x right parenthesis equals left parenthesis x minus 3 right parenthesis squared

g(x)=|x−3|
g left parenthesis x right parenthesis equals start absolute value x minus 3 end absolute value

g(x)=−(x−3)2

Answer 1

The correct answers are:

1. g(x) = -(x-3)^2
2. g(x) = |x-3|