Homework Help: Graph transformations

1. Aug 11, 2007

Ry122

Just a quick question, how do I shift this function 5 units to the right?
y=(-.001/2)*(e^(x/1)+e^(-x/1))+1500

2. Aug 11, 2007

CompuChip

Suppose you have a function $y(x)$.
What are then the following functions?
• $y(x) + a$
• $y(x) - a$
• $y(x + a)$
• $y(x - a)$

If you don't see it, try filling in something simple like a linear graph (e.g. $y(x) = x$) and plotting the functions (two points will do for these), then try to find the argument and check that it applies to any function.

3. Aug 11, 2007

HallsofIvy

In other words, Ri122, what is meant by "shift this function 5 units to the right"?

4. Aug 11, 2007

Ry122

Okay ill elaborate.
Say the stationary point of a parabola is at (5,10). If i moved the graph 5 units to the right it would become (10,10).

5. Aug 11, 2007

HallsofIvy

Okay so the parabola looks exactly the same execpt the x values are shifted by 5. If the original parabola was y= x2- 15, (so that y(5)= 52-15= 10) and changing x gives something of the form y= ( )2- 15, what would you put in the parentheses (i.e. changing x) so that y(10)= 15? Hint: if y= (x-5)2- 15, then y(10)= 52- 15= 10.

Now apply that idea, along with CompuChip's initial respons to your problem.

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