Question

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Answer 1

Break the question into two parts.

Tell me the transformation
from y=f(x)
to y=f(x-a)

Answer 2

@AntiNode
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We should give room to the asker to participate in the process of finding solution. Providing complete solution at one go should be avoided.

Answer 3

"move up and to the right" is correct.
Did you understand how it is the right answer ??

Answer 4

Okay. :)

Tell me the transformation from y = f(x) to y = f(x-a) ; when
(1) a > 0
(2) a < 0

Answer 5

Let there be a function y = f(x) who's graph is know.

To plot the graph of y = f(x-h) ; we shift the original graph (h) units towards +x axis.
In other words; if
h > 0 ; shift |h| units to right
h < 0 ; shift |h| units to left

To plot the graph of (y-k) = f(x) ; we shift the original graph (k) units towards +y axis
In other words; if
k > 0 ; shift |k| units upwards
k < 0 ; shift |k| units downwards

To plot the graph of y = f(-x) ; we simply swap the two sides around the y axis of the original graph.

To plot the graph of (-y) = f(x) ; we simply swap the two sides around the x axis of the original graph.


To plot the graph of y = f(ax) ; we multiply each x-coordinate of original graph by (1/a)
In other words; if
a > 1 ; horizontally compress by a factor of (a)
a < 1 ; horizontally stretch by a factor of (a)

To plot the graph of (by) = f(x) ; we multiply each y-coordinate of original graph by (1/b)
In other words; if
b > 1 ; vertically compress by a factor of (b)
b < 1 ; vertically stretch by a factor of (b)

Answer 6

@AlliNicolexo Does that ^^ makes sense ??