Parabola - Definition & Graph
Read this topicExplanations 3
- Upon entering any new topic, we have to familiarize ourselves with new vocabulary. Quadratics are no exception to this rule. Refresher: a quadratic function is a function that t…
By Victoria Rodriguez, Vatsal Ojha, Joshua Siktar, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
- (Video) Key Features of a Parabola by InspireMathTutorials This video by InspireMathTutorials covers the parts of a parabola. Summary\large{\text{Summary}}Summary A parabola is …
By Victor Wang, Joshua Siktar, Amy Feraco, Jonathan Heller, Anusha Rahman
- Three Key Features of Parabolas When you graph a quadratic function, you get a parabola, with three key features. Three of these features are the direction, vertex, and zeros. A…
By Christine, Vatsal Ojha, Joshua Siktar, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
Problems 25
- Let f(x)=x2+x+1f(x) = x^2+x+1f(x)=x2+x+1. What is the minimum possible value of f(1−u)+f(1+u)f(1-u) + f(1+u)f(1−u)+f(1+u)?
- What is the term for the curve in the graph of a quadratic function?
- What is the term for the point where a parabola crosses its axis of symmetry?
- What is the term for the description of the way a parabola "opens up"?
- What is the term for the imaginary line that crosses the parabola, causing one side to be the opposite of the other?
- What is the term for the point that can be derived from the equation of a quadratic formula?
- What is another term referring to the highest point of a downward-opening parabola?
- What is another name for the lowest point of an upward-opening parabola?
- The zeros on a graph are also known as \rule{2cm}{0.4pt} ? (select all that apply)
- Identify the maximum of the given graph.
- Identify the minimum of the given graph.
- Which point is the vertex of the graph?
- What is the equation of the axis of symmetry for the above parabola?
- Which of the following graphs have the same axis of symmetry as the graph above?
- True or False\text{True or False}True or False === Two unique parabolas can have the same axis of symmetry.
- True or False\text{True or False}True or False === Two unique parabolas can share a vertex.
- Which of the following formulas will allow you to find the vertex of a quadratic function?
- True or False\text{True or False}True or False === A parabola that opens down will always have a maximum?
- True or False\text{True or False}True or False === A parabola that opens down will always have a minimum?
- True or False\text{True or False}True or False === The vertex will always be either the maximum or minimum.
- Which is the axis of symmetry?
- Which is the vertex?
- Identify the zero(s).
- Identify the y-intercept(s).
- Identify the vertex. Is it a minimum or maximum?