5.7 Practice

Which of these equations shifts a radical equation right 5 times and down once?

• $y=\sqrt{x-5}-1$

• $y=\sqrt{x+5}-1$
  

• $y=\sqrt{x-5}+1$
  

• $y=\sqrt{x+5}+1$
  

• $y=\sqrt{x}+2$

• $y=\sqrt{x}-2$

• $y=\sqrt{x+2}$

• $y=\sqrt{x-2}$

• $y=\sqrt{x-3}$

• $y=\sqrt{x}+3$

• $y=\sqrt{x+3}$

• $y=\sqrt{x}-3$

• $y=-\sqrt{x+1}$

• $y=\sqrt{x+1}$

• $y=-\sqrt{x}-1$

• $y=-\sqrt{x}+1$

• $y=\sqrt{x-2}+3$

• $y=\sqrt{x+3}-2$

• $y=\sqrt{x+2}-3$

• $y=\sqrt{x-3}+2$

What kind of function is represented by the graph?

• Cubic Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

What is the range of this graph?

• y ≥ -1
• y ≤ -1
• y ≥ 0
• y ≤ 0

What is the domain of this graph?

• x ≥ -1
• x ≤ -1
• x ≥ 0
• x ≤ 0

What are the transformations from the parent function?

 $g\left(x\right)=\sqrt{7x}+2$  

• Horizontal stretch by 7, up 2

• Horizontal shrink by 1/7, up 2

• Vertical stretch by 7, up 2

• Vertical shrink by 1/7, left 2

Compare the two functions below. Which function has a domain x ≥ 1?

• f(x)

• g(x)

• Neither function

• Cannot be determined from the graph alone.