Question

6 + L (9) 3 2 6 5 4 3 2 -1₁ 09 A LO S Puy.. 2 4 Which equation represents the function graphed on the coordinate plane? O g(x)= x + 1 + 3 O g(x)= x + 31 - 1 Og(x)= |x-1| +3 Og(x)= x + 3) + 1​

Answer 1

The accurate equation for the graphed function is g(x) = |x-1| + 3. This expression correctly reflects the observed features, including a y-intercept at 3 and an absolute value function.

Step-by-step explanation:

The correct equation that represents the function graphed on the coordinate plane is g(x) = |x-1| + 3. The given information states that the line has a y-intercept of 9 and a slope of 3. This means that the line intersects the y-axis at the point (0, 9) and for every increase of 1 on the x-axis, the line rises 3 units on the y-axis.

The equation g(x) = |x-1| + 3 represents this relationship. The absolute value function |x-1| ensures that the line will always have a positive slope and the +3 term accounts for the y-intercept.