Functions (linear)

List the translations or reflections of this function.

f(x)= -|x-5|- 2

• Reflection over x-axis, Down 2, Right 5

• Reflection over x-axis, Down 2, Left 5

• Down 2, Right 5

• Down 2, Left 5

Describe the movements. 
y = − | x | + 4

• Left 4, Down 1
• Reflect x-axis, Down 4
• Reflect x-axis, Up 4
• Right 4, Up 1

Which way is the absolute value graph shifted?

 $y\ =\ \left|x-2\right|$  

• Left 2

• Up 2

• Right 2

• Down 2

Describe the movements. y = |x + 2| + 2

• Left 2, Up 2
• Right 2, Up 2
• Left 2, Down 2
• Right 2, Down 2

Which are true about the b value in y=a|b(x-h)|+k

• -b: reflects over y-axis

• b is a horizontal stretch or compression

• b is a vertical stretch or compression

• -b: reflects over x-axis

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflected over the x axis, stretched by 2, right 3, up 3

• reflected over the x axis, stretched by 2, left 3, up 3

• reflected over the x axis, compression by 1/2, right 3, up 3

• reflected over the x axis, compression by 2, left 3, up 3

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted right 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

What is the vertex of the following function? g(x) = -1/5 |x + 6| +4

• (6, 4)

• (-6, -4)

• (-6, 4)

• (6, -4)

f(x)=a| x-h|+k

When h is negative you...

• Shift left

• Shift right

• Shift up

• Shift down

Graph

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