High School

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Which equation represents the function graphed on the coordinate plane?

A. \( g(x) = |x + 1| + 3 \)
B. \( g(x) = |x + 3| - 1 \)
C. \( g(x) = |x - 1| + 3 \)
D. \( g(x) = |x + 3| + 1 \)

Answer :

Final answer:

The equation that represents the function graphed on the coordinate plane is g(x) = x - 1| + 3 (option c).

Explanation:

The equation that represents the function graphed on the coordinate plane is g(x) = x - 1| + 3 (option c).

In Figure 12.4, it is mentioned that if b > 0, the line slopes upward to the right. In this equation, the slope is positive as the term x - 1 has a positive coefficient.

Additionally, the line also intersects the y-axis at a y-coordinate of 3, supporting the constant term of the equation. Thus, option c represents the function graphed on the coordinate plane.

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