Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
4. Polynomial Functions
Quadratic Functions
Struggling with College Algebra?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Identify the ordered pair of the vertex of the parabola. State whether it is a minimum or maximum.

A
(−3,−2); maximum
B
(−3,−2); minimum
C
(−1,2); maximum
D
(−1,2); minimum
Verified step by step guidance1
Observe the graph of the parabola. It opens upwards, indicating that the vertex is a minimum point.
Identify the vertex of the parabola on the graph. The vertex is the lowest point on the graph.
Locate the coordinates of the vertex. From the graph, the vertex is at the point (-3, -2).
Since the parabola opens upwards, the vertex represents a minimum value of the function.
Conclude that the ordered pair of the vertex is (-3, -2) and it is a minimum.
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Related Practice
Textbook Question
The distance between the two points P(x₁, y₁) and R(x₂, y₂) is d(P, R) = √(x₁ - x₂)^2 + (y₁-y₂)^2. Distance formula. Find the closest point on the line y = 2x to the point (1, 7). (Hint: Every point on y = 2x has the form (x, 2x), and the closest point has the minimum distance.)
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Quadratic Functions practice set

