ALGEBRA II UNIT 8 LESSON 7

Calculate the determinant of the matrix. [4 2] [2 1]

0

Subtract. (3+3i)-(2-4i)

1+7i

Simplify. root3sqrt(4^6x^12y^18)

4x^2y^3

To shift the graph of f(x)= a+ clogb (dx+g) vertically, change parameters ___ or ___.

A D

To stretch the graph of f(x)= a+ clogb (dx+g) change the parameter_____.

C

Describe which way (up/down, left/right) and by how much the graph of f(x)= log x will shift when its parameters are changed. f(x)= log(x- 4)

D NOT B The 4 is parameter g so the graph will shift right.

To shift the graph of f(x)= a+ clogb (dx+g) horizontally, change the parameter____.

G

Use a graphing calculator or graphing utility to explore the graphs of lnx and -3lnx. Label the following graph:

The -3 makes the graph of g(x) decrease as x increases.

6) Describe which way (up/down, left/right) and by how much the graph of f(x)= log x will shift when its parameters are changed. f(x)=-6+ log x

The -6 is parameter a so the graph will shift down.

Describe which way (up/down, left/right) and by how much the graph of f(x)= log x will shift when its parameters are changed. f(x)= 2+ log(x+ 7)

The 2 shifts the graph up and the 7 shifts the graph to the left.

4) Describe which way (up/down, left/right) and by how much the graph of f(x)= log x will shift when its parameters are changed. f(x)= 3+ log x

The 3 is parameter a so the graph shifts vertically.

Describe which way (up/down, left/right) and by how much the graph of f(x)= log x will shift when its parameters are changed. f(x)= log(x+ 5)

The 5 is parameter g so the graph will shift left.

Here are the graphs of lnx and lnx-2. Choose the correct labels.

g(x) has been shifted 2 units down.

Use a graphing calculator or graphing utility to explore the graphs of lnx and ln(x-1). Label the following graph:

g(x) is shifted one space to the right.