Algebra 1 Honors - Special Functions Test

State the domain of the parent function for a square root function in interval notation.

State the range of the parent function for an absolute value function in interval notation.

Tags

CCSS.HSF-IF.C.7D

Which function would have the largest relative maximum?

• $y=-x^2-5$

• $y=-x^2-9$

• $y=-x^2+5$

• $y=-x^2+9$

Which function would have the smallest absolute minimum?

• $y=\left|x-3\right|+6$

• $y=\left|x-6\right|+3$

• $y=\left|x+3\right|-6$

• $y=\left|x+6\right|-3$

Tags

CCSS.HSF-IF.C.7D

Given the parent function,  $f\left(x\right)=2^x$  describe the horizontal (left or right) and vertical (up or down) shifts to get the function  $g\left(x\right)=2^{x+7}-9$  .

• left 7, down 9

• left 7, up 9

• right 7, down 9

• right 7, up 9

Tags

CCSS.HSF.BF.B.3

Given the function f(x) shown in the table, which of the following represents the value of g(4) given that  $g\left(x\right)=5\cdot f\left(x\right)+1$ ? 

• 16

• 40

• 35

• 0

The graph of  $y=x^2$  is shown in bold and labeled. Which of the following could be the equation of the graph shown as a dashed line?

•  $y=2x^2$  

•  $y=-\frac{1}{2}x^2$  

•  $y=\frac{1}{3}x^2$  

•  $y=-4x^2$  

The graph of f(x) is shown in bold. Three other equations of functions are also given. Which choice correctly fills in the blanks in order from top to bottom?

• k(x), g(x), h(x)

• g(x), k(x), h(x)

• k(x), h(x), g(x)

• h(x), k(x), g(x)

Use the graph below to answer the following FIVE questions:

a. Write the equation of the parent function.

b. Write the equation of the function shown on the graph.

c. If the function graphed was shifted to the right 1 and down 3, what would the new equation be?

d. Explain how you could change the equation from part C so that it opens upward.

e. Explain how you could change the equation from part C so that it becomes narrower.

Given the two quadratic functions, f(x) and g(x) shown, which of the following equations shows the correct relationship between the two functions?

• $g\left(x\right)=f\left(x\right)$

• $g\left(x\right)=2\cdot f\left(x\right)$

• $g\left(x\right)=\frac{1}{2}\cdot f\left(x\right)$

• $g\left(x\right)=-f\left(x\right)$