U2 KA Retest Review

What is the vertex of of the graph of this equation? Do not put spaces in your answer.
 $y=8\left|x-3\right|+7$  

An absolute value function opens downwards and has shifted 5 units to the right and 5 units up. Write the equation that represents this function. Do NOT put spaces in your answer.

Which equation represents this graph?

• f(x) = 3|x+6| +2

• f(x) = 3|x-2| - 6

• f(x) = -3|x-6| + 2

• f(x) = -3|x+2| - 6

What is the axis of symmetry for the function

f(x) = 4|x+2| - 5 ? Do not put spaces in your answer.

Choose the correct graph for the equation f(x) = 6|x - 3| + 2

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Find the minimum of the function on the given interval.

f(x) = 2 |x - 8 | + 3 on [6,10]

 $f\left(x\right)=2\left|x+5\right|-4$  

Find the maximum of the function on the interval [-9 , 1].

 $f\left(x\right)=\frac{1}{3}\left|2x+2\right|-3$  What transformations have been applied to f(x)=|x|?

• vc by 1/3, hc by 1/2, left 2, and down 3

• vs by 1/3, hs by 2, right 2, and down 3

• vc by 1/3, hc by 1/2, left 1, and down 3

• vc by 1/3, hs by 1/2, right 1, and down 3. 

f(x)=|x| is reflected over the y-axis, vertically stretched by 3, left 1, up 5. Write the equation that represented the function. Do NOT put any spaces in your equation.

 $f\left(x\right)=2\left|x+5\right|-4$  

What are the intercepts of the function?

• x-int: (3,0) and (-7,0) y-int: (6,0)

• x-int: (-3,0) and (7,0) y-int: (0,6)

• x-int: (3,0) and (7,0) y-int: (6,0)

• x-int: (-3,0) and (-7,0) y-int: (0,6)