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The equation of the absolute function graph given in the diagram is: y = |x - 3| + 5.How to Find the Equation of the Graph of an Absolute Value Function?y = a|x – h| + k is the equation, in vertex form, that represents the absolute value function where:The vertex of the graph of the absolute value function = (h, k) The graph opens up or opens down depends on the value of a.The vertex of the graph is (3, 5). This implies that:(h, k) = (3, 5) Substitute h = 3 and k = 5 into the equation in vertex form, y = a|x – h| + k:y = a|x – h| + ky = a|x - 3| + 5 To find the value of a, substitute a point on the graph, (5, 7), into the y = a|x - 3| + 5:7 = a|5 - 3| + 57 - 5 = 2a [subtraction property]2 = 2a a = 1 [division property of equality]Substitute a = 1 into the equation y = a|x - 3| + 5:y = |x - 3| + 5 Learn more about equation of absolute value function on:https://brainly.com/question/25290500#SPJ1