A bacteria population is growing exponentially with a

Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64?

stiks02 [169]

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

3 0

3 years ago

A locker requires a three-digit code to open the lock. The code must contain one letter and two numbers, and no letter or number

Bad White [126]

not sure what the dots are supposed to mean..

but i think it's 6B5??

6 0

3 years ago

Janine has 3 3/4 cup of flour. She uses 1/3 of the flour to make pancakes.How many cups of flour did she use?

KATRIN_1 [288]

1 1/4 cups of flour was used

8 0

4 years ago

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This is a linear equations question so pls help me I’m dying of stress thank you! ^^

topjm [15]

Answer:

the answer to this problem is D:(-2,4)(1,1)

7 0

2 years ago

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Which characteristics describe the scatterplot? Check all that apply.

denpristay [2]

Answer:

1. Negative Correlation

3. Strong Correlation

5. Linear

Step-by-step explanation:

We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.

Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.

We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.

We can also see that the slope of the line connecting all data points is approximately $-1$ , which represents a strong negative correlation, therefore, 3rd option is correct as well.

If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.

6 0

3 years ago

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