Concept explainers
(a)
Find whether
(a)
Answer to Problem 38WE
Positive.
Explanation of Solution
Given:
The graph is :
Calculation:
Since the given graph intersects the x -axis at 2 distinct points , it has 2 real and distinct roots.
If
If
If
Since the graph has 2 real and distinct roots,
(b)
Find whether c is positive, negative or zero by observing the given graph.
(b)
Answer to Problem 38WE
Zero.
Explanation of Solution
Given:
The graph is :
A parabola represented by the equation
Calculation:
In the equation
From the graph , it is clear that the y -intercept is 0, since it intersects the y -axis at y = 0.
So, c = 0.
(c)
Find whether a is positive, negative or zero by observing the given graph.
(c)
Answer to Problem 38WE
Negative
Explanation of Solution
Given:
The graph is :
A parabola represented by the equation
Calculation:
In the equation
If a > 0 , the parabola opens upward.
If a < 0 , the parabola opens downward.
Since the parabola in the given graph opens downward , so , a is negative.
(d)
Find whether b is positive, negative or zero by observing the given graph.
(d)
Answer to Problem 38WE
Positive.
Explanation of Solution
Given:
The graph is :
A parabola represented by the equation
Calculation:
In the equation
Since , from the graph , it is clear that the axis of symmetry lies on the positive x -axis , we have
So, b is positive.
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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