A2 - Unit 7 Test Review

Which equation is shown graphed?

• y = −√(x + 1) + 4

• y = −√(x − 1) + 4

• y = √(x − 1) + 4

• y = √(x + 1) + 4

• y = −√(x) − 3

• y = −√(x − 3)

• y = √(x) − 3

• y = √(x − 3)

• y = √(x + 2) + 3

• y = √(x − 2) + 3

• y = √(x − 3) + 2

• y = √(x + 3) + 2

What is the domain and range of the square root function. f(x) = √x

• Domain: all real numbers

  Range: all real numbers

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  $Domain\ \left(0,\ \infty\right)$ $Range\ \left(0,\infty\right)$

• $Domain\ \left(-\infty,\infty\right)$ $Range\ \left(-\infty,\infty\right)$

What is the domain of the function in this graph?

• x ≤ 3
• x ≥ 3
• x ≤ 0
• x ≥ 0

What is the range of the function in this graph?

• y ≤ 3
• y ≥ 3
• y ≤ 0
• y ≥ 0

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

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

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Determine the inverse of f(x)

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Which function opens in the same direction and has the same shape as h(x), but is 4 units to the right and 2 units up from h(x).

 $h\left(x\right)\ =\ -\frac{1}{3}\sqrt{x-2}\ +5$  

•  $g\left(x\right)\ =\ -\frac{1}{3\ }\sqrt{x-6}+\ 8$  

•  $g\left(x\right)\ =\ \frac{1}{3}\sqrt{x\ -\ 6}+7$  

•  $g\left(x\right)\ =\ -\frac{1}{3}\sqrt{x\ +2}+7$  

•  $g\left(x\right)\ =\ -\frac{1}{3}\sqrt{x-6}\ +7$