Shitting a graph up or down Suppose f is a function and a 0
     Shitting a graph up or down  Suppose f is a function and a > 0. Define functions g and h by g(x) = f(x) + a and h(x) = f(x) - a.  Then  - the graph of g is obtained by shifting the graph of f up a units  - the graph of h is obtained by shifting the graph of f down a units.  Assume that f is the function defined on the interval [1, 2] by the formula f(x) = 5x^2 + 8.  The graph of g is obtained by shifting the graph of f down 5 units.  Write the formula for g. 
  
  Solution
g(x) =5x^2 +8 -5
g(x) = 5x^2 +3

