Writing Exponential Equations: y=a(b)^x

In the exponential equation,  $y=2\left(3\right)^x$ , what is the initial value (a)?

• 2

• 3

In the exponential equation,  $y=2\left(3\right)^x$ , what is the common ratio (b)?

• 2

• 3

Which of the following is an exponential equation?

• $y=mx+b$

• $y=ax^2+bx+c$

• $y=a\left(b\right)^x$

Tags

CCSS.HSF.LE.A.1

In the exponential equation, $y=a\left(b\right)^x$ , what does $a$ represent? (Choose the best answer)

• initial value

• common ratio

• variable

• number

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

In the exponential equation,  $y=a\left(b\right)^x$  , what does  $b$  represent? (Choose the best answer)

• initial value

• common ratio

• variable

• number

How do you find the initial value in a table?

• Look for number next to 0

• Work backwards and divide

Tags

CCSS.HSF.IF.B.4

How do you find the common ratio in a table?

• Look for number next to 0

• Work backwards and divide

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

What is the initial value  $\left(a\right)$   in the table given?

• 2

• 4

• 6

• 8

What is the common ratio  $\left(b\right)$   in the table given?

•  $2$  

•  $\frac{1}{2}$  

•  $4$  

•  $0$  

What is the exponential equation  $y=a\left(b\right)^x$  of the table given?

•  $y=2\left(4\right)^x$  

•  $y=2\left(2\right)^x$  

•  $y=4\left(2\right)^x$  

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2