Here you have two graphs, one -- graph of the function y=f(x) on the coordinate plane with axes x and y, another -- graph of the function on the coordinate plane with axes y and x.
Actually, these graphs are graphs of the same function, only axes are changed.
It makes the sense to graph to functions and
on the same set of axes, not graphs of the same function
and
on the different set of axes.
The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
<h3>What is a Scale Factor ?</h3>The ratio by which the new image is bigger or smaller than the original image is the scale factor.
It is given that
Triangle A″B″C″ is formed using the translation (x + 0, y + 2)
and the dilation by a scale factor of 2 from the origin.
coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).
segment AC is equal to A''C'' over 2
Scale factor = 2
The coordinates are
A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0),
new coordinates
A'(- 1, 3), B'(3, - 3), and C'(- 1, -3).
The dilation by a scale factor of from the origin
A″ (-2, 6), B″ (6, -6) and C″(-2, -6)
By the distance formula
AB =
A''B'' = = 2
Therefore
AB = A''B'' /2
Similarly AC = A''C'' /2
The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.
To know more about Scale Factor
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