Esmi16
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write an equation for the following transformation of y=x a vertical stretch by a factor of 6

A. y=6x
B. y= x/6
C. y=x+6
D. y=x-6

Verified Answer :

Edufirst

Answer: option A. y = 6x

If you draw both  lines, you will see that the new one, y = 6x, looks like the original line y = x, was streched up-down.

That is because for the same value of x, for the new line, y = 6x, the value of y-coordinated is higher if x is positive or lower if x is negative than for the  original line y =x.

carlosego

For this case we have the following linear equation:
 \(y = x\)
 We apply the following function transformation:
 Vertical expansions:
 To graph y = a * f (x)
 If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
 For this case we have:
 \(y = 6 * f (x)\)
 Substituting values:
 \(y = 6x\)
 Answer:
 an equation for the transformation is:
 A. y = 6x

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