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nisslove
15.07.2019 •
Mathematics
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.
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Ответ:
C.
If you multiply a function by
, you are inverting its sign. It means that you have the parent function
, and the child function
.
This means that, if you choose the same input
, it will be mapped once to
, and once to
.
So, if you draw the two graphs, you will associate two opposite
values to the same
value.
This kind of transformation,
is exactly a reflection with respect to the
axis.
Ответ:
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
Suppose, f(x)=x+1
Hence, the graph flips over the x- axis.
Ответ: