Concept explainers
a.
To Express: The quadratic function in standard form.
a.
Answer to Problem 28E
the quadratic function is expressed in standard form as
Explanation of Solution
Given: The function is
Calculation:
The quadratic function
The parabola opens downwards if
Solve the function:
On comparing the above equation with standard form
Therefore, the quadratic function is expressed in standard form as
b.
To Sketch: The graph of the quadratic function.
b.
Explanation of Solution
Given: The function is
Graph:
The standard form of the function is:
From the standard form it is observed that the graph is a parabola that opens upward and has vertex
The
Use graphing calculator to graph the function:
c.
To Find: The maximum or minimum value of the function.
c.
Answer to Problem 28E
The value of
Explanation of Solution
Given: The function is
Calculation:
From the above graph it is seen that the parabola opens downward, since the coefficient of
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition