check+ math!
posted by kris .
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
102= (3+ a) ^3 + 22
8= (3+ a) ^3
Take the cube root of each side...
2= 3a solve for a
So I went like this:
22+a= 3a2+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= 3a solve for a ****Nope, you changed the sign on a. 1=3+a, a=1
The new equation is
y=(x1)^3 +2 This shifts the equation along the horizontal axis to the right.
Respond to this Question
Similar Questions

help!
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? 
Plz Help!Algebra!!!
Choose the description of the graph of the equation x = 8 a. A horizontal line through the 8 b. A horizontal line through the 8 c. A vertical line through the 8 d. A vertical line through the 8 Grab a piece of graph paper (or just … 
Math
The graph of y = f (x) = b^x, where b > 1, is translated such that the equation of the new graph is expressed as y – 2 = f (x – 1). The range of the new function is A. y > 2 B. y > 3 C. y > –1 D. y > –2 the answer … 
precalculus
How do I find the vertical/horizontal compression/stretch? 
Algebra 2
2. How do the graphs of y = 1/x and y = 3/x – 4 compare? 
Math help Please
2. How do the graphs of y = 1/x and y = 3/x – 4 compare? 
math
The graph of y=x^2 is transformed by a stretch of scale factor 2 parallel to the x axis, followed by a translation of (0 3). WRITE DOWN the equation of the new graph 
Calculus AB
Let f be the function that is given by f(x)=(ax+b)/(x^2  c). It has the following properties: 1) The graph of f is symmetrical with respect to the yaxis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through … 
MATH TRIGONOMETRY
refer to the polynomial function f(x)= x(x1)(x+2) in anwering the folloowing questions. 1.what is the y intercept? 
Math (Integrals)
The area A between the graph of the function: g(t) = 4  (4/t^2) and the taxis over the interval [1, x] is: A(x) = ∫[1, x] (4  (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph …