ALGEBRA II UNIT 8 QUIZ 3

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

The -4 is parameter a so the graph shifts down.

Describe which way (up/down, left/right) and by how much the graph of f(x)=lnx will shift when its parameters are changed. f(x)=-5+ln(x-9)

The -5 shifts the graph down and the 9 shifts the graph to the right.

Describe which way (up/down, left/right) and by how much the graph of f(x)=lnx will shift when its parameters are changed. f(x)=ln(x-10)

The 10 is parameter g so the graph shifts to the right.

Describe which way (up/down, left/right) and by how much the graph of f(x)=lnx will shift when its parameters are changed. f(x)=12+lnx

The 12 shifts the graph up.

Describe which way (up/down, left/right) and by how much the graph of f(x)=lnx will shift when its parameters are changed. f(x)=3+ln(x+1)

The 3 shifts the graph up and the 1 shifts the graph to the left.

Describe which way (up/down, left/right) and by how much the graph of f(x)=lnx will shift when its parameters are changed. f(x)=lnx+8

The 8 is parameter a so the graph shifts up.

Choose the best answer. Choose the correct graph that sketches f(x)>4x and g(x)≤3+logx, with the correct shading of the solution.

The upper graph must be solid and the lower graph must be dashed.

Choose the best answer. To ___ the graph of f(x)=a+clogb(dx+g), change the parameter c

stretch

Use a graphing calculator or graphing utility to explore the graphs of ln(x+2) and 2+lnx. Label the following graph:

g(x) is shifted up 2 units and f(x) is shifted left 2 units.

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

horizontally

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

vertically