Exponential Transformations and Characteristics

The Exponential Function: Graph, Attributes and Transformation

Multiple Select

What are the ways to express exponential functions?

• graphically

• algebraically

• verbally

• tables

Multiple Choice

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.

A=10(1.01)³

• Growth

• Decay

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.

A=1200(.85)⁶

• Growth

• Decay

Multiple Choice

For $$y=a\left(b\right)^x+k$$ , how does adding a constant transform the parent function?

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

How has the function $$7\left(3\right)^x-5$$ been transformed from the parent function  $$7\left(3\right)^x$$ ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

• $$y=-\left(\frac{1}{4}\right)^x-2$$

• $$y=4^x-2$$

• $$y=-4^x-2$$

• $$y=\left(\frac{1}{4}\right)^x-2$$

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x