Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
y=-tan 1/10x +4

Option c

Step-by-step explanation:

If the graph of the function  represents the transformations made to the graph of  then, by definition:

If   then the graph is compressed vertically by a factor c.

If   then the graph is stretched vertically by a factor c

If  then the graph is reflected on the x axis.

If the graph moves vertically upwards.

If the graph moves vertically down

If the graph is stretched horizontally  by a factor

If the graph is compressed horizontally by a factor

In this problem we have the function and our parent function is

therefore it is true that  and and

Therefore the graph of is stretched horizontally  by a factor of 10. Also as is reflected on the x axis. Also, as b = 4> 0 then the graph moves vertically 4 units up

The answer is "Reflection across the x-axis, horizontal stretch by a factor of 10 and vertical translation up 4 units"

details

step-by-step explanation:

560

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