Alg2 Unit 6 Test - Exp & Log Fx

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?

Answer explanation

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

Describe the transformation

(a)  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Match the following

• Decay

• Exponential Function Equation

• 
• Growth/Decay Factor

• 
• y-intercept

• a

• Growth

• b

Solve: 9^8-x = 27^x-3

(a)  

10^2x+4 =100000

Answer explanation

x=1/2

Solve the exponential equation:

• -11/4
• 6
• 9/4
• 8

Solve for p:
4^p+2 = 64

(a)  

Solve for x

(a)  

• none of these