Exponential Transformations Notes

Exponential Transformations Notes

Horizontal Movement

Multiple Choice

What is the transformation?

• Vertical Translation up 1
• Vertical Translation down 1
• Horizontal Translation left 1
• Horizontal Translation right 1

Multiple Choice

What is the transformation of $$f\left(x\right)=2^{x+1}$$

• Vertical shift up 2

• Vertical shift down 2

• Horizontal shift left 1

• Horizontal shift right 1

Multiple Choice

If g(x) is a transformation of f(x), describe the transformation.

$$f\left(x\right)=2^x$$      $$g\left(x\right)=2^{x+4}$$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

Vertical Shift

Multiple Choice

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

Multiple Choice

How has the function $$3^x-5$$ been transformed from the parent function  $$3^x$$ ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

Write the equation of the graph.

• f(x) = 3^x+2

• f(x) = 3^x - 2

• f(x) = 3^x + 2

• f(x) = (1/3)^x +2

Multiple Choice

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1
• Vertical Translation down 2 and Horizontal Translation left 1
• Horizontal Translation left 2 and Vertical Translation up 1
• Horizontal Translation right 2 and Vertical Translation down 1

"a" Shift

"a" Shift Continued...

Multiple Choice

$$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$$  
What transformation has taken place from the parent function to g(x)

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

Multiple Choice

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Multiple Choice

How has the function $$y=-\left(3\right)^x$$ been transformed from the parent function  $$y=\left(3\right)^x$$ ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

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

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

• It stayed the same

• reflection over x axis, up 3, left 6

• right 3, down 6

• reflection over x axis, left 3, down 6