Graphing and Transforming Absolute Value Functions A2#6

Which of the following is the absolute value parent function's equation?

•  $f\left(x\right)=x$  

•  $f\left(x\right)=x^3$  

•  $f\left(x\right)=\left|x\right|$  

•  $f\left(x\right)=\sqrt{x}$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which equation is equivalent to the absolute value function graphed?

• $f\left(x\right)=\left|x\right|+5$

• $f\left(x\right)=-\left|x\right|+3$

• $f\left(x\right)=\left|x\right|-3$

• $f\left(x\right)=\left|x\right|+12$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation is equivalent to the absolute value function graphed?

• $f\left(x\right)=\left|x\right|+0.5$

• $f\left(x\right)=-\left|x\right|+1.5$

• $f\left(x\right)=\left|x\right|+3.5$

• $f\left(x\right)=-\left|1.5x\right|$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the graph?

• $\left(-1,\ 3\right)$

• $\left(-1,\ -3\right)$

• $\left(1,\ -3\right)$

• $\left(1,\ 3\right)$

Tags

CCSS.HSA.REI.D.10

What are the zero(s) of the graph?

•  $-1$ 

•  $3$ 

•  $-5\ and\ 7$ 

•  $-0.5,\ and\ 2.5$ 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 What is the vertex of the given equation? $f\left(x\right)=\left|x+5\right|-9$  

•  $\left(5,\ -9\right)$  

•  $\left(-5,\ -9\right)$  

•  $\left(-5,\ 9\right)$  

•  $\left(5,\ 9\right)$  

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the y-intercept of the graph?

• $\left(1,0\right)$

• $\left(0,1\right)$

• $\left(-1,0\right)$

• $\left(0,-1\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

What is the equation for the axis of symmetry for the absolute value graphed?

• $x=-1$

• $x=1$

• $y=6$

• $y=-3$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is the a-value positive or negative for this absolute value function?

• Its positive.

• Its negative.

• Its neither positive or negative.

• Not enough information is given.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following graphs represents an absolute value function that is reflected over the x-axis, and shifted left 4 and down 1?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7