Function notation, vertical and horizontal translation

Using the graph, find f(12)

• 2

• 4

• 6

• 8

Is the following relation a function:

{(7, 3), (11,5), (11,8)}

• No, because there is an x value that is paired with two different y values

• No, because each x value has only one y value paired with it

• Yes, because each x value has only one y value paired with it

• Yes, because for each input there is exactly one output

Find x when f(x) = -2

• 8

• 3

• 0

• 1

If f(x) = -4x - 5
and g(x) =  $x^2+2x+1$  
find g(-1) + f(1)

• -11

• -9

• 3

• -3

What does the transformation
 $f\left(x\right)\longrightarrow f\left(x+1\right)-9$  
do to a graph?

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it left one unit and up 9 units

• translates it right one unit and up 9 units

If  $f\left(x\right)=a\left(x-h\right)+k$  has a horizontal shift of 2 (right) a vertical shift of -4 (down), what is the equation for  $f\left(x\right)$ ?

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

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

•  $f\left(x\right)=\left(x-2\right)-4$  

•  $f\left(x\right)=\left(x+2\right)+4$  

 $f\left(x\right)=\sqrt{x}+33$  Which transformation is involved in the equation

• horizontal

• vertical

• reflection

• I know this isn't the correct answer but I'm going with it anyways

If  $f\left(x\right)=\left(x-h\right)^2+k\$  has a horizontal shift of -3 and a vertical shift of -2, what are the values of h and k?

• h = -3 and k = -2

• h = 3 and k = -2

• h = -3 and k = 2

• h = 3 and k = 2

Which of the following functions results in the parent absolute value function shifting right 15 units and down 3 units?

• $f\left(x\right)=\left|x+15\right|-3$

• $f\left(x\right)=\left|x-15\right|-3$

• $f\left(x\right)=\left|x-15\right|+3$

• $f\left(x\right)=\left|x+15\right|+3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Given  $r\left(x\right)=3x+8$  
Find x when  $r\left(x\right)=17$  

• x = -3

• x = 139

• x = 51

• x = 3