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mezya [45]
3 years ago
6

When you multiply a function by -1, what is the effect on its graph?

Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0

Answer:

C.The graph flips over the x- axis

Step-by-step explanation:

We are given that a function multiply by -1.

We have to find the effect on its graph.

Let f(x) be the original function.

Multiply by -1 then we get

-f(x)

It means f(x) convert into -f(x).

The transformation rule when reflection across x- axis is given by

(x,y)\rightarrow (x,-y)

Suppose, f(x)=x+1

-f(x)=-(x+1)

Hence, the graph flips over the x- axis.

nataly862011 [7]3 years ago
5 0

C.


If you multiply a function by -1, you are inverting its sign. It means that you have the parent function f(x), and the child function -f(x).


This means that, if you choose the same input x, it will be mapped once to f(x), and once to -f(x).


So, if you draw the two graphs, you will associate two opposite y values to the same x value.


This kind of transformation, (x,y) \to (x,-y) is exactly a reflection with respect to the x axis.

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3 years ago
Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
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<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

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................> This corresponds to option 5

Hope this helps :)

4 0
3 years ago
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