Absolute Value Function Transformation Rules
Absolute Value Function Transformation Rules - The general rule of thumb is to perform the absolute value first for the absolute values on the inside and the absolute value last for absolute values on the outside work from the inside ou t The best thing to do is to play around with them on your graphing calculator to see what s going on We can think graphs of absolute value and quadratic functions as transformations of the parent functions x and x Importantly we can extend this idea to include transformations of any function whatsoever This fascinating concept allows us to graph many other types of functions like square cube root exponential and logarithmic functions For a function g x f x k the function f x is shifted vertically k units See Figure 2 for an example Figure 2 Vertical shift by k 1 of the cube root function f x x 3 To help you visualize the concept of a vertical shift consider that y f x Therefore f x k is equivalent to y k
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Absolute Value Function Transformation Rules
Absolute Value Transformation Rules YouTube
Absolute Value Transformation Rules YouTube
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Absolute Value Function Graphing Rules YouTube
Absolute value function graphing rules youtube
A function whose graph is unchanged by combined horizontal and vertical reflection f x f x f x f x and is symmetric about the origin vertical compression a function transformation that compresses the function s graph vertically by multiplying the output by a constant 0 a 1 vertical reflection
3 5 Absolute Value Functions There are a few ways to describe what is meant by the absolute value x of a real number x You may have been taught that x is the distance from the real number x to 0 on the number line So for example 5 5 and 5 5 since each is 5 units from 0 on the number line
Absolute Value Function Transformations Love Of Math Pinterest
Absolute value function transformations love of math pinterest
Absolute Value Transformations
Absolute value transformations
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About Transcript We can graph any absolute value equation of the form y k x a h by thinking about function transformations horizontal shifts vertical shifts reflections and scalings Questions Tips Thanks Want to join the conversation Sort by Top Voted Prince Lawrence 6 years ago
Absolute Value Functions Transformations In previous units transformations of quadratics and other polynomials were discussed The transformations so far follow these rules f x k is f x shifted upward k units f x k is f x shifted downward k units f x h is f x shifted left h units f x h is f x shifted right h units