Unit 6 Test Redemption

UNIT 6 TEST REDEMPTION

Multiple Choice

What are the transformations of this functions compared to the parent function?

$$f\left(x\right)\ =\ -2\sqrt{x-5}$$  

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Multiple Choice

What is the first step to solve this equation?

• Add 6 to both sides
• Square both sides
• Square root both sides

Multiple Choice

$$\sqrt{5x-3}=\sqrt{2x+12}$$  

• $$x=\frac{15}{7}$$  

• $$x=5$$  

• $$x=-5$$  

• $$x=51$$  

Multiple Choice

$$\sqrt{x-3}=12$$  

• $$x=15$$  

• $$x=141$$  

• $$x=153$$  

• $$x=147$$  

Multiple Choice

What is the first step to solving a square root equation?

• Isolate the radical

• Square both sides

• Solve Algebraically

• Plug in the solution to the equation

Multiple Choice

$$-1\sqrt{x-11}-11=-18$$  What is the first step in solving this problem?

• Add 11 

• Divide by -1

• Square both sides

Multiple Choice

What is the first step to solve the following equation?

$$-2\ \sqrt[]{x}=-14$$

• Subtract both sides by 2

• Add 2 to both sides

• Divide both side by -2

• Square both sides

Multiple Choice

Which is the inverse of the table?

Multiple Choice

Find the inverse function of $$y=\sqrt{x+11}$$  

• $$y=x^2-11$$  

• $$y=x^2+11$$  

• $$y=\left(x+11\right)^2$$  

• $$y=\left(x-11\right)^2$$  

Multiple Choice

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

Multiple Choice

Are the functions inverses? Why or why not?

• yes, the graphs reflect over the line y=x

• yes, the graphs have a 90 degree rotation around the origin

• no, the graphs open in two different directions

• no, the graphs do not to intersect

Multiple Choice

What is the inverse of squaring?

• Dividing by 2

• Multiplying by 2

• Taking the square root

• Multiplying the value by itself

Multiple Choice

Find the inverse of $$f\left(x\right)=\sqrt{x+2}+9$$  

• $$f\left(x\right)=\left(x-9\right)^2-2$$  

• $$f\left(x\right)=\left(x+9\right)^2+2$$  

• $$f\left(x\right)=\sqrt{x+9}+2$$  

• $$f\left(x\right)=\sqrt{x-9}-2$$  

Multiple Choice

What are the transformations of this functions compared to the parent function?

$$f\left(x\right)\ =\sqrt{x+2}$$  

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Multiple Choice

State the transformations:

$$f\left(x\right)\ =\ -3\sqrt{x-2}+1$$  

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

Multiple Choice

What is the DOMAIN of the function?

$$f\left(x\right)\ =\ \sqrt{x+3}$$  

• $$\left[-3,\ \infty\right)$$  
  

• $$\left[0,\ \infty\right)$$  
  

• $$\left[3,\ \infty\right)$$  
  

• $$\left(-\infty,\ 0\right]$$  
  

Match

Match the following numbers to their square roots.

• 49

• 64

• 81

• 36

• 25

7

8

9

6

5

• 7

• 8

• 9

• 6

• 5

Multiple Choice

Describe the transformations:

$$f\left(x\right)\ =\ \sqrt{x+2}-4$$  

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Multiple Choice

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Multiple Choice

What is the equation of the graph?

• y = √(x) + 3

• y = - √(x + 3)

• y = - √(x - 3)

• y = - √(x) + 3