Graphing functions

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

• shifted up three units
• shifted down three units
• shifted left three units
• shifted right four units

Describe the transformations of the exponential function shown.

• Shrink by a factor of 2/3 and shift right 10.

• Shrink by a factor of 2/3 and shift left 10.

• Stretch by a factor of 5 and shift left 10.

• Stretch by a factor of 5 and shift right 10.

Describe the transformation that occurred

t(x) = f(x) - 1

• right 1

• down 1

• vertical compression

• vertical stretch

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Write the equation for the given transformations.

VS of 2, Right 6, Up 12

• $y=\frac{2}{x-12}+6$

• $y=\frac{2}{x+12}+6$

• $y=\frac{2}{x-6}+12$

• $y=\frac{2}{x+6}+12$

Horizontal Stretch/Compression

• f(-x)

• af(x)

• f(bx)

Which equation has a vertical compression of 1/3, reflects over the x-axis and moves up 5?

What transformation maps the parent function  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  to  $g\left(x\right)=\left(\frac{1}{2}\right)^x+3$  ?

• Translate up 1 unit

• Translate up 2 units

• Translate up 3 units

• Translate up 1/2 unit

What transformations have occurred from  $f\left(x\right)=2^x$   to  $g\left(x\right)=\left(2\right)^{-x}+5$  

• Reflection across the y-axis, horizontal shift right 5

• Reflection across the y-axis, vertical shift up 5

• Reflection across the asymptote, horizontal shift right 5 

• Reflection across the asymptote, vertical shift up 5