Question

In: Advanced Math

Use f(x) = log4 (x) as the parent function. For the following exercises, write a logarithmic equation corresponding..

For the following exercises, write a logarithmic equation corresponding to the graph shown.

Use f(x) = log4 (x) as the parent function.

Expert Solution

Refer to the graph shown in the exercise.

From the graph the vertical asymptote is x = -2 and has been vertically reflected.

The equation will be in the form;

y = blog4(x + 2) + k

It appears the graph passes through the points (-1, 0) and (2, 3) substitute (-1, 0) as follows:

0 = alog4(-1 + 2) + k

0 = alog4(1) + k

0 = 0 + k

k = 0

Now substitute (2, 3) as follows:

3 = alog4(2 + 2) + 0

3 = alog4(4)

a = 3

Thus the equation of the function is y = 3log4(x + 2).

Now check the equation by graphing the function as shown below:

Thus the equation of the function is y = 3log4(x + 2).

Junaid answered 1 year ago

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