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An absolute value function is an important function in algebra that consists of the variable in the absolute value bars. The general form of the absolute value function is f (x) = a |x - h| + k, where (h, k) is the vertex of the function.
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Learn how to graph absolute value functions in this video math tutorial by Mario's Math Tutoring.
15 sie 2024 · An absolute value equation is an equation in which the unknown variable appears in absolute value bars. For example, \ [\begin {align*}|x|&=4, \nonumber \\ [4pt] |2x−1| &=3, \\ [4pt] |5x+2|−4 &=9. \end {align*}\] Solutions to Absolute Value Equations.
21 wrz 2023 · To solve an absolute value equation, such as \(|X| = p\), replace it with the two equations \(X = −p\) and \(X = p\) and then solve each as usual. Absolute value equations can have up to two solutions.
Questions: H1) For any value " h ", how does the parameter " h " affect the graph of a function? If h > 0, what happens? If h < 0, what happens? H2) How would we have to move the curve y = f (x) to get the curve y = f (x + 12)? K1) For any value " k ", how does the parameter " k " affect the graph of a function? If k > 0, what happens?
• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). • the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0). • notice that the h value is subtracted in this form, and that the k value is added.
This article reviews how to draw the graphs of absolute value functions. General form of an absolute value equation: f (x) = a | x − h | + k. The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down.
