Horizontal and Vertical Reflections of Functions

The dashed function is the graph of

 $f$  and the solid function is the graph of  $g$  .   Express  $g\$  in terms of  $f$  .

•  $g\left(x\right)=-f\left(x\right)$  

•  $g\left(x\right)=f\left(-x\right)$  

•  $f\left(x\right)=-g\left(x\right)$  

•  $f\left(x\right)=g\left(-x\right)$  

Tags

CCSS.HSF.BF.B.3

The table gives some values of functions f and g.  Which of  these equations could be true for all values of x?  Sketch a graph.

•  $f\left(x\right)=-g\left(x\right)$  

•  $f\left(x\right)=g\left(-x\right)$  

•  $f\left(x\right)=-g\left(-x\right)$  

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

The function f is reflected over the y-axis and then translated 3 units up.  Write and equation in terms of f for a function g that has the graph that you drew.

•  $g\left(x\right)=-f\left(x\right)-3$  

•  $g\left(x\right)=-f\left(x\right)+3$  

•  $g\left(x\right)=f\left(-x\right)+3$  

•  $g\left(x\right)=f\left(-x\right)-3$  

If W(6.5)=75, then what is the corresponding point of H? Use function notation to describe the point on H.

• W(16.5)=75

• W(6.5)=85

• W(-3.5)=75

• W(6.5)=75

Tags

CCSS.HSF.IF.A.2

If W(2)=60, then what is the corresponding point on H? Use function notation to describe the point on H.

• W(2)=50

• W(2)=70

• W(12)=60

• W(12)=70

Tags

CCSS.HSF.IF.A.2

Write an expression for H in terms of W.

• $H\left(x\right)=W\left(x+10\right)$

• $H\left(x\right)=W\left(x-10\right)$

• $H\left(x\right)=W\left(x\right)+10$

• $H\left(x\right)=W\left(x\right)-10$

Tags

CCSS.HSF-BF.A.1C

Check you answer by graphing.

•  $h=6+50t-32t^2$  

•  $h=2+50t-32t^2$  

•  $h=4+50\left(t+2\right)-32\left(t+2\right)^2$  

•  $h=4+50\left(t-2\right)-32\left(t-2\right)^2$