Accepted Answer
The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.What is the Equation of the Graph of an Absolute Value Function?The equation, in vertex form, of a absolute value function is expressed as y = a|x – h| + k, where:(h, k) = vertex of the graph a = this value determines if the graph opens up or opens down.h = horizontal translation factork = vertical translation factor From the graph, we know that:Vertex (h, k) = (3, 5) Substitute h = 3 and k = 5 into the equation, y = a|x – h| + k:y = a|x - 3| + 5 A point on the graph is (5, 7). To find the value of a, substitute x = 5 and y = 7 into the equation y = a|x - 3| + 5:7 = a|5 - 3| + 57 = 2a + 57 - 5 = 2a + 5 - 5 [subtraction property of equality]2 = 2aDivide both sides by 22/2 = 2a/2 [division property of equality]Substitute a = 1 into y = a|x - 3| + 5:y = |x - 3| + 5 [equation of the absolute value function]Learn more about equation of absolute value function on:https://brainly.com/question/25290500#SPJ1