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