Functions (general)

• Horizontal Shift Left 4

• Horizontal Shift Right 4

• Vertical Shift Up 4

• Vertical Shift Down 4

 Describe the transformation: $f\left(x\right)=\frac{0.1}{x+3}-5$ 

• Vertical Compression by 0.1, Left 3, Up 5

• Vertical Compression by 0.1, Right 3, Down 5

• Vertical Compression by 0.1, Left 3, Down 5

• Vertical Stretch by 0.1, Left 3, Down 5

The parent function  $f\left(x\right)=3^x$   is shown in red and is translated. What is the equation of the blue graph?

•  $g\left(x\right)=3^x+4$  

•  $g\left(x\right)=3^{x-4}$  

•  $g\left(x\right)=3^x-4$  

•  $g\left(x\right)=3^{x+4}$  

What is the "rule" for reflections across the x-axis?

• $\left(\frac{1}{\left|b\right|}x,\ y\right)$

• $\left(x+h,\ y\right)$

• $\left(-x,\ y\right)$

• $\left(x,\ -y\right)$

How is this function transformed from the parent function?

• Translated left
• Translated right
• Translated down
• Translated up

The graph of $y=2^x+3$   looks like the graph of the parent function  $y=2^x$  shifted ...

• up 3 units

• down 3 units

• 3 units in the negative x direction (left)

• 3 units in the positive x direction (right)

• Shifted left 4 units and up 1 unit.

• Shifted left 4 units and down 1 unit.

• Shifted right 4 units and up 1 unit.

• Shifted right 4 units and down 1 unit.

Describe all transformations from the parent function g(x)=1/x to f(x).

• Shift right 5 and shift up 7
• Shift left 7 and shift up 5
• Reflect over the x-axis, shift up 7
• Shift left 5 and shift up 7

What transformation maps  $f\left(x\right)=7^x$  to  $g\left(x\right)=7^{x-4}$  

• Translates left 4 units

• Translates right 4 units

• Translates up 7 units 

• Translates down 4 units

What transformations have happened to y = 2^x if the new equation is

y = -2^(x+3) -6

• It stayed the same

• reflects on x-axis,

  moves up 3, and left 6

• reflects on x-axis,

  moves right 3, and down 6

• reflects on x-axis,

  moves left 3, and down 6