Transformations with Exponentials

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

• Shifted up 4

• Shifted down 4

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

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

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3
• y=2^x+3
• y=2^x+3
• y=2^x-3

Does this table represent exponential growth or decay?

• Growth

• Decay

The dashed line is the horizontal asymptote for the exponential function shown on the graph.

• TRUE

• FALSE