The answer is g(x) = x². Solution: The graph of h(x) = x²+9 translated vertically downward by 9 units means that each point (x, h(x)) is shifted onto the point (x, h(x) - 9), that is, (x, h(x)) → (x, h(x) - 9) The translated graph that represents the function is defined by the expression for g(x): g(x) = h(x) - 9 = x² + 9 - 9 = x²
h(x) = x²+9 → g(x) = x² shows that the graph of the equation g(x) = x² moves the graph of h(x) = x²+9 down nine units.
Let 'x' be the number of jerseys and 'y' the cost of x jerseys.
Each jersey costs $80, so the cost of x jerseys is 80x. There's also an extra fee for procesing of $65, which is the same no matter how many jerseys they buy.
Therefore, the cost 'y' of x jerseys is:
Now we want to know the cost of 40 football jerseys, so we just have to replace x by 40 and solve: