Accepted Answer
The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.How to Determine the Equation of the Graph of an Absolute Value Function?The equation that represents the absolute value function is expressed in in vertex form as y = a|x – h| + k, here, the vertex of the graph of the absolute value function is (h, k), while the value of a determines if the graph opens up or opens down.The point (3, 5) is the vertex of the graph, therefore:(h, k) = (3, 5) Plug in h = 3 and k = 5 into, y = a|x – h| + k:y = a|x - 3| + 5 Find the value of a, by substituting the values of the coordinates of a point on the graph, (x, y) = (5, 7), into the equation y = a|x - 3| + 5:7 = a|5 - 3| + 57 = 2a + 52 = 2a [subtraction property]1 = a [division property of equality]a = 1 Substitute the value of a into the equation y = a|x - 3| + 5:y = |x - 3| + 5 [equation of the graph].Learn more about equation of absolute value function on:https://brainly.com/question/25290500#SPJ1