Library+of+Functions-Target+B-Graphing+Abs-Practice+Problems

**Target 6B: Graph and Compare Absolute Value Functions**
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 * 1-4) Match the blue absolute value function to f(x) by dragging the vertex A and B, which is a point to the right of A. Once you have successfully matched the function compare it to f(x)=|x| by checking the box in the lower right. Repeat three times.**

math \textbf{5)} \ \ g(x)=|x|+2 math
 * Sketch and compare the following functions to the parent function f(x) = |x|:**

math \textbf{6)} \ \ h(x)=|x|-3 math

math \textbf{7)} \ \ k(x)=|x+3| math

math \textbf{8)} \ \ m(x)=|x-7| math

math \textbf{9)} \ \ n(x)=|x|-3 math

math \textbf{10)} \ \ p(x)=|x+4|-6 math

math \textbf{11)} \ \ q(x)=|x-2|+5 math

math \textbf{12)} \ \ r(x)=\text{-}\dfrac{1}{2}|x+2|-3 math

math \textbf{13)} \ \ s(x)=\text{-}3|x+4|+1 math

math \textbf{14)} \ \ t(x)=\dfrac{9}{8}|x-10|+2 math

math \textbf{15)} \ \ v(x)=1.2|x+7| math


 * Given the description below, write a function that describes the translation from the reference function f(x) = |x|:**


 * 16)** Shifted to the right seven and up two and opens up.


 * 17)** Shifted down five, vertically compressed and opens down.


 * 18)** Shifted to the left, vertically stretched and opens up.


 * 19)** Opens down, shifted down eight and to the left two.


 * 20)** Vertically stretched, opens down, shifted to the left three and up 15.