Find the vertex form of the
quadratic equation by completing the square
Write a brief verbal
description of the relationship between the graph of the indicated function and
the graph of y = x2.
Match each equation with a
graph of one of the functions f, g, m, or n in the figure.
The graph opens downward, so a =
-1.
Find the vertex form for each
quadratic function. Then find each of the following:
Intercepts
Vertex
Maximum or minimum
Range
Solve graphically to two
decimal places using a graphing calculator
(A) Graph f and g in
the same coordinate system.
(B) Solve f(x) = g(x)
algebraically to two decimal places.
(C) Solve f(x) > g(x)
using parts (A) and (B)
Solve f(x) < g(x)
using parts (A) and (B)
(B) Setting f(x) = g(x)
gives:
Tire mileage. Using quadratic
regression on a graphing calculator, show that the quadratic function the best
fits the data on tire mileage in Problem 61 is
Revenue. The marketing
research department for a company that manufactures and sells memory chips for
microcomputers established the following price demand and revenue functions:
Sketch a graph of the revenue
function in a rectangular coordinate system.
Find the value of x that
will produce the maximum revenue. What is the maximum revenue?
What is the wholesale price
per chip that produces the maximum revenue?
Break-even analysis. Use the
revenue function from problem 66, and the given cost function
