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2 answers:
Answer with explanation:
The given function is,
f(x)=x
We can Write it as,replacing f(x) by y
→y=x ------------------(1)
When , f(x) is replaced by in the above equation, the above equation reduces to
Similarly, Replacing f(x) by y in this equation also,the equation becomes
→→ y = - 2 x ---------------(2)
Plotting the graph of , Line 1 and Line 2
Now, when line 1 is reflected either through , x axis or y axis, the equation of line 1 becomes
→→y= -x
As,→ if there would have been vertical stretch, distance between origin and points on the curve would have been Larger.
But , →why compression because distance between axis of reflection and curve which has been compressed, that is , y=-2 x, has reduced.
Option D: Horizontal reflection over y-axis and horizontal compression
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