contestada

Use the graphing tool to see what happens to the logarithmic (log base 10) function when you change more than one parameter at a time. In what ways is this new graph different from the parent graph of f(x)=log(x)? Write down your observations for each of these transformed functions. Then try a few of your own.

Respuesta :

Answer:

The parent graph of g(x) = 5 log (x + 1) shifts one unit to the left and is stretched vertically by a factor of 5 .

The parent graph of g(x) = 1/5 log (1/7 x)   is stretched horizontally by a factor of 7  and then compressed vertically by a factor of 1/5 .

Step-by-step explanation:

When we change more than one parameter at a time. Then graph of logarithmic functions attached below.

Logarithmic functions:

It is the inverses of exponential functions.

                     [tex]f(x)=log_{10}x[/tex]

  • The graph of parent function in red color shown below,
  • The  graph of [tex]f(x)=2log_{10}x[/tex]  is stretched vertically by a factor of 2 .
  • The  graph of [tex]f(x)=log_{10}(\frac{x}{5} )[/tex]   is compressed vertically by a factor of 1/5 .
  • The graph of [tex]f(x)=2log_{10}x[/tex] shown in green color.
  • The graph of [tex]f(x)=log_{10}(\frac{x}{5} )[/tex] shown in black color.

Learn more about the logarithmic functions here:

https://brainly.com/question/1695836

Ver imagen ibiscollingwood

Otras preguntas