Do Now Exponential Functions

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

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

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

y = 2^(x+3) -6

• It stayed the same

• up 3, left 6

• right 3, down 6

• left 3, down 6

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Which transformation is shown?

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

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.

• Reflection over x-axis, left 7, up 2

• Reflection over x-axis, right 7, up 2

• Reflection over x-axis, right 2, down 7

• Reflection over y-axis, right 7, up 2

What is the range of the exponential function?

• all real numbers

• y > -1

• y < -1

• x > -1

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)