absolute value functions

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Identify the graph that has a vertex of (-1,1) and a leading coefficient of a=2.

Acute angel on (-1,1)

Use the transformations on the function f(x) = x| to select the correct graph of f(x)= 1/3 IxI+1

Obtuse angel on (0,1) / B

The function, f(x) = |x - 2| + 4 has a vertex that is located in which quadrant?

Quadrant I

What transformations of the parent function f(x) = x| should be made to graph, f(x) = - |x| + 5

Reflection over the x-axis, shift up 5 units

Choose the correct transformation of the graph f(x) = |x - 8| +3 .

The graph of f(x) =x| is shifted to the right 8 units, up 3 units.

Choose the function that represents the graph of the transformation of f(x) = |x| that opens down and has a vertex of (3,2)

f(x) = -|x - 3| + 2

Identify the function that has a vertex of (2,-1) and is stretched vertically by a factor of 3.

f(x) = 3|x - 2| - 1

Identify the function that contains the data in the following table: x -2 0 2 3 5 f(x) 3 1 -1 0 2

f(x) = |x - 2| - 1

Choose the graph that best represents the parent function f(x) = |x| .

sharp right angle going up = B


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