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3 years ago

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 4f(x)?

2 answers:

6 0

Remark
The way this is written I would assume that it means 4*f(x) = x. That may not be entirely the correct assumption to be made.

Step One
Replace f(x) by 4f(x)
4*f(x) = x

Step two
Divide both steps by 4
f(x) = x/4 or (1/4)x
The slope is now 1/4

Discussion
A is incorrect.
The slope has been changed.

B is incorrect
The slope has been changed to 1/4 and the y intercept is still 0

C looks to be the right answer.

D The y intercept is still zero.

Comment
The question is a little hard to interpret. I've read it literally. That means that I have taken the question to mean that only f(x) was altered. If however, the right side was multiplied by 4 as well (as should be done), then the answer is A same slope same intercept. That's because the 4s on the left and right cancel, and the original equation results. I'm going to pick C but don't be surprised if it is A

C <<<<<answer

Solnce55 [7]3 years ago

3 0

Answer:

The answer is in C)

Step-by-step explanation:

I took this test already

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Aleksandr [31]

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\end{cases}
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3 years ago

Simplify the rational Expression <br>

qaws [65]

Answer:

$\frac{x^2+2x}{x-3}$

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.

Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

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3 years ago

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Rashid [163]

Answer:

brainly.com/question/17506481

Step-by-step explanation:

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3 years ago

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IrinaK [193]

Answer: look at the screenshot

Step-by-step explanation:

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3 years ago

The graph of y = |2 is shifted to the left by 6 units.<br> What is the equation of the new graph?

Tasya [4]

Answer:

From your question, I am assuming you are talking about an absolute value graph. In this case the answer would be y = |2 + 6|

Step-by-step explanation: Always remember, when you are graphing absolute value graphs:

When you shift left or right, you put the amount you are shifting inside the absolute value sign.

When you are shifting up or down, you put the amount you are shifting outside the absolute value sign.

When shifting left on a graph, you usually think of subtraction. However, when dealing with absolute value graphs, when you are shifting left, you use addition, as you can see in this problem.

The same goes for right. You use subtraction when shifting right, contrary to what you may think.

However, when you go up, you still use addition, and when you shift down, you still use subtraction.

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4 years ago