21.09.2020

Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3)

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Mathematics

Please help. I will mark BRAINLIEST!!! Write an equation for the transformed logarithm shown below, that passes through (2,0) and (0,3)

Step-by-step answer

P Answered by Master

Mark as brainlest ?

Step-by-step explanation:

Please help. I will mark BRAINLIEST!!!

Write an equation for the transformed logarithm shown below

Mathematics

Please help. I will mark BRAINLIEST!!! Write an equation for the transformed logarithm shown below, that passes through (2,0) and (0,3)

Step-by-step answer

P Answered by Master

Mark as brainlest ?

Step-by-step explanation:

Mathematics

Write an equation for the transformed logarithm shown below, that passes through (-2,0) and (2,-2)

Step-by-step answer

P Answered by PhD

$y=\log_{\frac{1}{2}}(x+2).$

Step-by-step explanation:

Find the equation of the transformed logarithm as $y=\log_a (x-b).$

For the point (-2,0):

$0=\log_a (-2-b).$

For the point (2,-2):

$-2=\log_a (2-b).$

Solve the system of equations:

$\left\{\begin{array}{l}0=\log_a (-2-b)\\-2=\log_a (2-b)\end{array}\right.\Rightarrow \left\{\begin{array}{l}b=-2\\-2=\log_a 4\end{array}\right.$

Then

$a^{-2}=a^{\log_a 4} \Rightarrow \dfrac{1}{a^2}=4,\ a=\dfrac{1}{2}.$

The equation of the function is $y=\log_{\frac{1}{2}}(x+2).$

Mathematics

What transformation has changed the parent function f(x) = log2 x to its new appearance shown in the graph below? logarithmic graph passing through point negative 1, 3.

Step-by-step answer

P Answered by PhD

Assuming there are no vertical or horizontal stretches or any reflections (a picture would help)...

Understanding that log base 2 of 1 = 0, (that is 2 raised to the 0 power = 1) can help us figure out the transformation. So the coordinate is (1,0).

This has been shifted to the left 2 spots (to -1) and up 3 (to 3), therefore we can apply to get the new equation.

log2(x+2) + 3.

So it would be a horizontal shift left 2 and a vertical shift up 3. (Again assuming no stretches/shrinks/reflections).

Mathematics

What transformation has changed the parent function f(x) = log5x to its new appearance shown in the graph below logarithmic graph passing through point 5, negative 2.

Step-by-step answer

P Answered by PhD

f(x)=log(5x)

We want the curve to pass through (5,-2)

We can move the curve along the plot adding something in the formula. Let’s call that z.

You can put z in different parts of the formula and still find a z value that makes it pass through the point (5,-2). I will choose to put it inside the log:

f(x)=log(5x+z)

f(5)=-2

log(5*5+z)=-2

log(25+z)=-2

10^-2 = 25+z

10^-2 – 25 = z

z=1/100-25 = 1/100-2500/100=-2499/100 = -24.99

Let’s verify:

f(5)= log(5*5-24.99)=-2

So the formula: f(x)=log(5x-24.99) passes through the point (5,-2)

Mathematics

What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below? logarithmic graph passing through point negative 1, negative 2. f(x + 2) + 2 f(x + 2) − 2 f(x + 2) + 5 f(x − 2) − 5

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P Answered by Master

F(x+2)-2 is the correct answer. I got it right on my test. Just make sure the point passing through is -1,-2 or you will miss this question. Hope I help you all.

Mathematics

What transformation has changed the parent function f(x) = log2 x to its new appearance shown in the graph below? logarithmic graph passing through point negative 1, 3.

Step-by-step answer

P Answered by PhD

Mathematics

What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below? logarithmic graph passing through point negative 1, 3 (6 points) Question 10 options: 1) f(x + 4) + 2 2) f(x − 2) − 2 3) f(x + 2) + 2 4) f(x − 4) − 2

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P Answered by Specialist

It is f(x + 4) + 2. I just took the test and that was the answer.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Mathematics

(PLEASE HELP 30 POINTS) What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below? logarithmic graph passing through point negative 1, 3 Select one: a. f(x + 4) + 2 b. f(x − 2) − 2 c. f(x + 2) + 2 d. f(x − 4) − 2

Step-by-step answer

P Answered by Specialist

It is f(x + 4) + 2. I just took the test and that was the answer.

Mathematics

What transformation has changed the parent function f(x) = log4 x to its new appearance shown in the graph below? logarithmic graph passing through point negative 4, 5 answers = f(x − 5) − 4 f(x + 5) + 4 f(x − 5) − 5 f(x + 5) + 5

Step-by-step answer

P Answered by PhD

We know the graph of the parent function will pass through the point (1, 0). If that is the point that is transformed, it is shifted 5 to the left and 5 up. The appropriate choice is

... f(x + 5) + 5

_____

The graph has an infinite number of points, any one of which can be transformed to the given point. There are an infinite number of transformations that will satisfy the problem requirements. However, only one of those listed will do so.