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  • Which of the following is the graph of y = 4-x?Option: 1 <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZcAAAEnCAYAAABlrA54AAAgA

Which of the following is the graph of y = 4-x?

Option: 1


Option: 2


Option: 3


Option: 4


Answers (1)

best_answer

As we have learnt in
Transformation f(x) → f(-x) ,

When  we multiply all inputs by −1, we get a reflection about the y-axis, to draw y=f(-x), take the image of the curve y=f(x) in the Y-axis as a plane mirror.

 

Now,

For y = 4-x , take the image of the curve y= 4x in the y-axis as a plane mirror

Note that this is f(x) → f(-x) transformation as x is replaced by -x, and not f(x) → -f(x)

Posted by

Gautam harsolia

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