Accepted Answer
The equation of the absolute value function graph is: y = |x - 3| + 5.How to Write the Equation of the Graph of Absolute Value Function?The equation, y = a|x – h| + k, represents the equation of an absolute value function in the vertex form, where:(h, k) = vertex of the graph a = determines if the graph opens up or opens down.h = horizontal translation factor (this determines how far left or right the parent function is translated)k = vertical translation factor (this determines how far up or down the parent function is translated)We are given the following from the graph:Vertex (h, k) = (3, 5) Plug in the values of h and k into the equation, y = a|x – h| + k:y = a|x - 3| + 5 A point on the graph is (5, 7). Find the value of a by substituting (x, y) = (5, 7) into y = a|x - 3| + 5:7 = a|5 - 3| + 57 = a|2| + 57 = 2a + 57 - 5 = 2a2 = 2a2/2 = 2a/21 = aa = 1Write the equation of the absolute function graph by substituting a = 1 into y = a|x - 3| + 5:y = |x - 3| + 5Learn more about equation of absolute value function on:https://brainly.com/question/25290500#SPJ1