Posted by **kris** on Tuesday, August 29, 2006 at 12:42pm.

QUESTION: A horizontal translation is applied to the graph of y= X^ 3 + 2 so that it will pass through (3, 10) what is the new equation for the graph?

y=(x+a) ^3+ 2

10= (3+ a) ^3 + 2

10-2= (3+ a) ^3 + 2-2

8= (3+ a) ^3

Take the cube root of each side...

2= 3-a solve for a

So I went like this:

2-2+a= 3-a-2+a

a= 1

So the new equation would be? I am unsure which equation do I put it in for?

8= (3+ a) ^3

Take the cube root of each side...

2= 3-a solve for a ****Nope, you changed the sign on a. 1=3+a, a=-1

The new equation is

y=(x-1)^3 +2 This shifts the equation along the horizontal axis to the right.

## Answer This Question

## Related Questions

- math - The graph of y=x^2 is transformed by a stretch of scale factor 2 parallel...
- help! - A horizontal translation is applied to the graph of y= X^ 3 + 2 so that ...
- Math help Please - 2. How do the graphs of y = 1/x and y = 3/x – 4 compare? (1 ...
- Plz Help!Algebra!!! - Choose the description of the graph of the equation x = -8...
- Calculus AB - Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It ...
- Math - The graph of y = f (x) = b^x, where b > 1, is translated such that the...
- MATH TRIGONOMETRY - refer to the polynomial function f(x)= -x(x-1)(x+2) in ...
- Algebra 2 - 2. How do the graphs of y = 1/x and y = 3/x – 4 compare? (1 point) ...
- precalculus - How do I find the vertical/horizontal compression/stretch? For the...
- Physics: Data Analysis - Power Law - In an experiment, two variables quantities...

More Related Questions