Logarithm Transformations

What is the domain of the graph above?

• $\left(4,\infty\right)$

• $\left(-\infty,4\right)$

• $\left[4,\infty\right)$

• $\left(-4,\infty\right)$

Write the equation

• y=log(x+1)+2

• y=3log(x+1)+2

• y=log(x-1)+2

• y=log(x+1)-2

What is the range?

• x > -1

• x < -1

• $\left(-\infty,\infty\right)$

• $\left(-1,\infty\right)$

What transformations does the have? $y=-3\log_{ }\left(x+17\right)$  

• Right 17, Reflection over the x axis, and a Vertical Stretch

• Left 17, Reflection over the y axis, and a Vertical Stretch

• Right 17, Reflection over the x axis, and a Vertical compression

• Left 17, Reflection over the x axis, and a Vertical Stretch

Tags

CCSS.HSF.BF.B.3

What is the domain?

• x > -1

• x < -1

• $\left(-\infty,\infty\right)$

• $\left(-1,\infty\right)$

What is the domain of this graph? $y=-3\log_{ }\left(x+17\right)$  

• x<-17

• x > -17

•  $x\ge-17$  

•  $\left(-\infty,\infty\right)$  

Which logarithmic equation is vertically compressed, shifted up 2, and left 99

• $y=-3\log_{ }\left(x+99\right)-2$

• $y=0.3\log_{ }\left(x-99\right)+2$

• $y=3\log_{ }\left(x+99\right)+2$

• $y=0.3\log_{ }\left(x+99\right)+2$

Tags

CCSS.HSF.BF.B.3

Which logarithmic equation is vertically stretched, reflected over the x axis, shifted down 2, and left 99

• $y=-3\log_{ }\left(x+99\right)-2$

• $y=0.3\log_{ }\left(x-99\right)+2$

• $y=3\log_{ }\left(x+99\right)+2$

• $y=0.3\log_{ }\left(x+99\right)+2$

Tags

CCSS.HSF.BF.B.3

What is the vertical asymptote?

• y = 1

• x = 1

• y = -1

• x = -1

What is the vertical asymptote?

• y = 3

• x = 3

• y = -3

• x = -3