SOLUTION: A function f is given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph. f(x)= x^3; shift upward 4 units

Algebra ->  Square-cubic-other-roots -> SOLUTION: A function f is given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph. f(x)= x^3; shift upward 4 units       Log On


   



Question 1039192: A function f is given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph.
f(x)= x^3; shift upward 4 units

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Shifting the graph upwards by 4 units means that
for every value of x, the point P%28x%2Cy%29 will shift to a point Q%28x%2Cy%2B4%29 with a value of y that is 4 more.
Instead of the point P%28x%2Cf%28x%29%29 in the original function graph,
the new graph will contain the point Q%28x%2Cf%28x%29%2B4%29 .
So, for any function f%28x%29 , the equation for the function corresponding to the a graph shiftedr up by 4 is
g%28x%29=f%28x%29%2B4 .
In the case of f%28x%29=x%5E3 , the function for the shifted graph is
g%28x%29=highlight%28x%5E3%2B4%29 .