3 Questions
Which of the following is a characteristic of a parabola?
It is a curve
What is the focus of a parabola?
The point where all the lines tangent to the parabola intersect
What is the equation of a parabola in standard form?
y = ax^2 + bx + c
Study Notes
Characteristics of a Parabola
- A parabola is a U-shaped graph that opens either upwards or downwards.
Focus of a Parabola
- The focus of a parabola is a point on the axis of symmetry, not on the graph itself.
- It is the point that the parabola curves towards.
Equation of a Parabola in Standard Form
- The standard form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex.
- 'a' determines the shape of the parabola: a > 0 opens upwards, a < 0 opens downwards.
- The vertex is the lowest or highest point on the parabola, depending on the direction it opens.
Test your knowledge on parabolas! This quiz will cover characteristics of parabolas, the equation of a parabola in standard form, and the focus of a parabola.
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