Concept explainers
a.
To Express: The quadratic function in standard form.
a.
Answer to Problem 17E
the quadratic function is expressed in standard form as
Explanation of Solution
Given: The function is
Calculation:
The quadratic function
The parabola opens upwards if
Solve the function:
On comparing the above equation with standard form
Therefore, the quadratic function is expressed in standard form as
b.
To Find: The vertex,
b.
Answer to Problem 17E
the vertex is
there is no
Explanation of Solution
Given: The function is
Calculation:
The quadratic function
by completing the square. The graph of the function f is a parabola with vertex
The
From the standard form it is observed that the graph is a parabola that opens upward and has vertex
The
c.
To Sketch: The graph of the quadratic function.
c.
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 downward and has vertex
Use graphing calculator to graph the function:
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition