Concept explainers
a.
To Find: The coordinates of the vertex of a quadratic function f.
a.
Answer to Problem 5E
The coordinates of the vertex are
Explanation of Solution
Given: The function is
Calculation:
The quadratic function
The parabola opens downward if
Solve the function:
On comparing the above equation with standard form
Therefore, the coordinates of the vertex are
b.
To Find: The maximum or minimum value of f.
b.
Answer to Problem 5E
the coefficient of
Explanation of Solution
Given:The function is
Calculation:The standard form of the function is:
If
Since, the coefficient of
c.
To Find: The domain and range of f.
c.
Answer to Problem 5E
the domain is from
Explanation of Solution
Given: The function is
Calculation:
The standard form of the function is:
It is observed from the standard form of the function thatthe domain is from
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition