Question

In: Math

For the following exercises, write a logarithmic equation corresponding to the graph shown. Use y = log2 (x) as the parent function.

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

Use y = log2 (x) as the parent function.

Expert Solution

Refer to the graph shown in the exercise.

From the graph the vertical asymptote is x = 1 and has been vertically reflected.

The equation will be in the form;

y = alog2(-x + 1) + k

It appears the graph passes through the points (0, 0) and (-1, 1)

Substitute (0, 0) as follows:

0 = alog2(-0 + 1) + k

0 = alog2(1) + k

0 = 0 + k

k = 0

Now substitute (-1, 1) as follows:

1 = alog2(1 + 1) + 0

1 = alog2(21)

a = 1

Here the reflection is along y-axis

Thus the equation of the function is y = log2(-x + 1).

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

Here the reflection is along y-axis

Thus the equation of the function is y = log2(-x + 1).

Junaid answered 1 year ago

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