Question

One thing I keep getting stuck on is the questions that are f(x+h). Most of the time I get the answer right, but I got tripped up on the homework and got some of the answers wrong. Does anyone have any advice?

Answer 1

Please check out my solution.

I feel you want to get more information about what f(x) is transformed into when f(x+h) is obtained.

f(x+h) can also be written as f(x—(—h)). This means that f(x) must be shifted by (—h) units towards positive x-axis. Hence f(x) must be shifted by (—h) towards right. Instead of shifting (—h) units towards right we just shift (h) units towards LEFT . Isn't that cool.

Now , since the entire graph is shifted by h units to the left therefore x-coordinate of every point on the graph of f(x) must decrease by "h" units to get the x-coordinate of every point on f(x+h).

Since there is no shifting in Vertical direction therefore there is no change in y-coordinate.

HOPE IT HELPED :-)

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