unit 6

The produce manager at Mini Market must order more than 175 pounds of apples and oranges each week to keep up with customer demand. Mini Market’s maximum budget for apples and oranges is $150.00. If the wholesale cost of apples is $0.90 per pound and the wholesale cost of oranges is $0.60 per pound, which graph shows the possible solution region for the number of apples and oranges the produce manager can order per week?

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Callie needs to plot a parabola for a demonstration about the beam of a headlamp on a car. The focus of the parabola will be at point (7, 3) and the vertex of the parabola is at point (5, 3). The parabola will open to the right on her illustration. Which can be the equation of the parabola Callie will need to plot?

• $8\left(y-3\right)=\left(x-5\right)^2$

• $8\left(x-5\right)\ =\ \left(y\ -\ 3\right)^2$

• $8\left(x-5\right)^2=\left(y-3\right)$

• $8\left(x-3\right)^2=\left(y-5\right)$

Given the function f(x) = 3(x – 2)² + 4 with a restricted domain of x ≥ 2, which of the following represents f^–1(x)?

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

• $f^{-1}\left(x\right)=\ \sqrt{\frac{x-4}{3}}$

• $f^{-1}\left(x\right)=\sqrt{\frac{x-4}{3}}+2$

• $f^{-1}\left(x\right)=\sqrt{\frac{x+4}{3}}+2$

A system of three linear inequalities in two variables is shown below.

5y + 3x ≤ 15

2x – 7y > 14

5x + 2y ≥ 4

Which graph represents the correct region of solutions to the system of inequalities?

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The graph of the square root parent function f(x) =
 $\sqrt{x}$  
  is reflected across the x-axis, vertically stretched by a factor of 3, translated left 5 units, and translated down 3 units. Which notation can be used to represent the parameter changes on the square root parent function, f(x)?

• 3f(x + 5) – 3

• –3f(x + 5) – 3

• 3f(–(x + 3)) – 5

• –3f(x + 3) – 5

 $h\left(x\right)=-\frac{1}{2}\sqrt{x\ -3}-2$  A square root function 
 

Which function opens in the same direction and has the same shape as h(x), but is three units to the right and 3 units up from h(x)?

•  $g\left(x\right)=-0.5\sqrt{x+3}+1$  

•  $g\left(x\right)=-0.5\sqrt{x}+3$  

•  $g\left(x\right)=-0.5\sqrt{x-6}+1$  

•  $g\left(x\right)=0.5\sqrt{x}+3$  

The graph of f(x) is shown below.

If the domain of f(x) is restricted to x ≥ 2, which graph represents f^–1(x)?

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Given the function f(x) = –2(x + 4) + 5, which of the following is the graphical representation of f^–1(x)?

A.

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A square root function is given below.

Which graph best represents the parent function and the transformed function? $y\ =\ -2\sqrt{x+4}+2$  

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The graph of the square root parent function f(x) =  $\sqrt{x}$    is horizontally compressed by a factor of 1/3 , translated right 3 units, and translated down 5 units to yield g(x). Which function can be used to represent g(x)?

•  $g\left(x\right)\ =\ \sqrt{\frac{1}{3}\left(x-3\right)}-5$  

•  $g\left(x\right)\ =\ \sqrt{3\left(x-3\right)}-5$  

•  $g\left(x\right)\ =\ \sqrt{3\left(x+3\right)}-5$  

•  $g\left(x\right)\ =\ 3\sqrt{\left(x+3\right)}-5$