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

A. The graph flips over the line y = x.
B. The graph flips over the y-axis.
C. The graph flips over the x-axis.

User DenZap
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8.2k points

2 Answers

3 votes

Answer:

C.The graph flips over the x- axis

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.

When you multiply a function by -1, what is the effect on its graph? A. The graph-example-1
User DoubleMalt
by
8.5k points
3 votes

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.

User Stett
by
7.5k points

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