Posted by kris on Monday, August 28, 2006 at 1:43pm.
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?
how do I do this?
When x=3, one wants y to be 10
y= (x+a)^3 + 2
20= (3+a)^3 + 2
solve for a. I would change it to
18=(3+a)^3 and take the cube root of each side to solve for a.
I think we need to make it
10=(x+a)^3 + 2 or
8=(x+a)^3 so 8^(1/3)=x+a, then solve this when x=3
Then substitute that into y=(x+a)^3 + 2.
thanks for your help but I am still confused of how to find a right like i got up to here:8=(3+a)^3
then I have to cube it but how? like what would i end up with? I am a little confused!
Ok, here's what we know.
y=x^3 + 2
We first determine the value of x that corresponds to y=10, thus
10=x^3 + 2, which means 8=x^3 and x=2
We know that we want the value x=2 to now be shifted to the right to correspond to x=3. This means we need to subtact 1 from x in shifting to the right (it seems a little counter-intuitive, but study it a bit.)
Thus y=(x-1)^3+2 is the desired shift.
Substitute x=3 and we have y=(3-1)^3+2=2^3 + 2=10.
What would be the shift if we wanted the same graph to coincide with (3,2)?
How about (-4,10)?
Take the cube root of each side...
2= a+3 solve for a. My solution above is wrong, a typo.
repost if you have questions.
Answer This Question
More Related Questions
- check+ math! - QUESTION: A horizontal translation is applied to the graph of y= ...
- Plz Help!Algebra!!! - Choose the description of the graph of the equation x = -8...
- Math help Please - 2. How do the graphs of y = 1/x and y = 3/x – 4 compare? (1 ...
- 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...
- math - HELP Not great in these Express y=2x^2 -12x +23 in the form y=2(x-c)^2 + ...
- Algebra... - Write the equation of a vertical line passing through the point (8...
- Maths - A cubic graph has the equation: y = 3(x-1)(x+2)(x+5) Write in similar ...
- Physics - Data Analaysis - Power Laws - In an experiment, two variables ...
- Algebra-Please help-I'm confused - This deals with quadratic functions-If I have...