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(a)
whether the graph opens up or down or not
(a)
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Answer to Problem 6CT
The parabola opens up.
Explanation of Solution
Given:
Calculation:
Compare
Conclusion:
The parabola opens up.
(b)
the vertex.
(b)
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Answer to Problem 6CT
Hence the vertex is
Explanation of Solution
Calculation:
Now find vertex
The x-coordinate of the vertex is
And the y-coordinate of the vertex is
Conclusion:
Hence the vertex is
(c)
the axis of symmetry.
(c)
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Answer to Problem 6CT
Therefore the axis of symmetry is
Explanation of Solution
Calculation:
The axis of symmetry is the line
Conclusion:
Therefore the axis of symmetry is
(d)
the intercepts.
(d)
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Answer to Problem 6CT
Hence the x intercepts is
Explanation of Solution
Calculation:
Now find the y-intercept,
Hence the y intercepts is
Find the discriminant,
Since the value of the discriminant is positive, the parabola will have two different x-intercepts.
Now find the x-intercepts by solving
Conclusion:
Hence the x intercepts is
(e)
To graph: f by using the results from part (a) to (d)
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CT
Explanation of Solution
Calculation:
Now plot the vertex, x-intercepts, y-intercept and axis of symmetry.
Conclusion:
Thus, the graph is drawn.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus and Its Applications (11th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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