Algebra 2 Semester 1 Review

How does the graph of  $y\ =\ \sqrt{x}$  compare to the graph of  $y\ =\ \sqrt{x}-4$  

•  $y\ =\ \sqrt{x}-4$  is 4 units up

•  $y\ =\ \sqrt{x}-4$  is 4 units down

•  $y\ =\ \sqrt{x}-4$  is 4 units right

•  $y\ =\ \sqrt{x}-4$  is 4 units left

Which is the equation for the graph?

• $y\ =\ \sqrt{x+\ 2}+\ 5$

• $y\ =\ \sqrt{x-2}+\ 5$

• $y\ =\ \sqrt{x-5}+\ 2$

• $y\ =\ \sqrt{x-5}-\ 2$

Which function is represented by this table?

• $y\ =\ 4\sqrt{x}$

• $y\ =\ 4x^2$

• $y\ =\ 4x$

• $y\ =\ \sqrt{4x}$

Which function is represented by the table.

• $b=4\sqrt{a}$

• $b=6\sqrt{a}$

• $b\ =\ 2a\ -\ \sqrt{a}$

• $b=a+\sqrt{a}$

The formula  $d\ =\ 1.2\sqrt{h}$  can be used to estimate how far you can see in miles when you are h feet above the ground. John is painting a water tower that is 64 feet tall. According to the formula, approximately how many miles can John see from the top of the water tower? 

• 9.6 miles

• 6.7 miles

• 7.3 miles

• 3.4 miles

What is the value of x in $\sqrt{2x+8}-6\ =\ 0$  

• x = 14

• x = -1

• x = 22

• x = 56

Find the value of b in $3\sqrt{2b+2}=12$  

• b = 7

• b = 23

• b = 0

• b = 9

A skydiver falls at a rate of $t=0.75\sqrt{x}$  seconds to freefall x feet. How long, in seconds, does it take the skydiver to freefall 900 feet? 

• 22.5 seconds

• 40 seconds

• 26 seconds

• 34.6 seconds

The function y = -(x - 1)² - 3 is restricted to the domain (-∞, 1]. Which of these graphs is the INVERSE function?

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What is the domain of $f(x)=x^2-6x+7$  used to produce the inverse function  $f^{-1}(x)=3-\sqrt{x+2}$  

•  $\left[-2,\infty\right)$  

•  $\left[3,\infty\right)$  

•  $\left(-\infty,\ -2\right]$  

•  $\left(-\infty,\ 3\right]$