The graph may or may not intersect the horizontal axis, depending on how the graph has been shifted and reflected. View Graphing_Absolute_Value_Functions_1-12.pdf from MATH 5310 at East Tennessee State University. The graph of an absolute value function will intersect the vertical axis when the input is zero. Next lesson. This is the currently selected item. Type in any equation to get the solution, steps and graph This website uses cookies to … The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction. The absolute value function is commonly used to measure distances between points. Over which interval is the graph of the parent absolute value function decreasing? (-∞, ∞) (-∞, 0) (-6, 0) (0, ∞) y - k = |x - h| Step 3 : To get the vertex of the absolute value function above, equate (x - h) and (y - k) to zero, Graphing absolute value functions. Piecewise functions. Here is the graph of f (x) = | x|: f (x) = | x| The graph looks like a "V", with its vertex at (0 Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 units? To gain access to our editable content Join the Algebra 2 Teacher Community! The graph of an absolute value function will intersect the vertical axis when the input is zero. The graph may or may not intersect the horizontal axis, depending on how the graph has been shifted and reflected. Graphing the Absolute Value Function The graph of the absolute value function f (x) = | x| is similar to the graph of f (x) = x except that the "negative" half of the graph is reflected over the x-axis. Absolute Value Functions and Graphs - Word Docs & PowerPoints. Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values. Free absolute value equation calculator - solve absolute value equations with all the steps. Practice: Graph absolute value functions. The process of graphing absolute value equations can be reduced to some specific steps which help develop any kind of absolute value graph. Absolute value graphs review. No, they do not always intersect the horizontal axis. Practice: Scale & reflect absolute value graphs. Applied problems, such as ranges of possible values, can also be solved using the absolute value function. Scaling & reflecting absolute value functions: graph. No, they do not always intersect the horizontal axis. Algebra 1 Name_ ID: 1 Absolute Value Functions Date_ Period_ Identify the … When we look at the above graph, clearly the vertex is (0, 0) Step 2 : Write the given absolute value function as . 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