Asked by jay
Could someone please explain how to write an equation.
Write an equation for the following transformation of y=x; a vertical stretch by a factor of 4.
I'm not sure but this is what I tryed
y=f(x)
vertical stretch 4
y=f(x+4)
y=4
Write an equation for the following transformation of y=x; a vertical stretch by a factor of 4.
I'm not sure but this is what I tryed
y=f(x)
vertical stretch 4
y=f(x+4)
y=4
Answers
Answered by
Reiny
no,
a vertical stretch of 4 for y = x would give us
<b>y = 4x</b>
e.g. suppose you have (2,2) on the first graph.
That point lies 2 units above the x-axis, you want to "stretch" that by a factor of 4, so it would be 8 units high
in y = 4x, when x = 2, y = 8
(your equation of y = f(x+4) would be a horizontal shift of 4 units to the left )
a vertical stretch of 4 for y = x would give us
<b>y = 4x</b>
e.g. suppose you have (2,2) on the first graph.
That point lies 2 units above the x-axis, you want to "stretch" that by a factor of 4, so it would be 8 units high
in y = 4x, when x = 2, y = 8
(your equation of y = f(x+4) would be a horizontal shift of 4 units to the left )
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