Absolute Function Graph Math

Now in previous videos we have talked about it. If you replace your x with an x plus three this is going to shift your graph to the left by three. The graph of absolute value function has a shape of v or inverted v.

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Graph y x 2.

Absolute function graph math. The general form of the absolute value function is. Because of this minus the positive values provided by the absolute value bars will all be switched to negative values. To get the vertex equate x 2 and y to zero. When a is positive the v shape graph opens upward and the vertex is a minimum.

Y k x h y k x h. X 2 x 2 and y 0 y 0. When a is negative the v shape graph opens downward and the vertex is the maximum. Y is equal is to the absolute value of x plus three.

You could view this as the same thing as y is equal to the absolute value of x minus negative three. Absolute value function in equation form the general form of an absolute value function that is linear is where the vertex low or high point is located at. X 2 0 x 2 0 and y 0 y 0. Therefore the vertex is.

F x a x h k. This function is kind of the opposite of the first function above because there is a minus on the absolute value expression on the right hand side of the equation. That is y x 2 y x 2. 2 0 2 0 so the absolute value graph of the given absolute value function is.

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