Properties and Features of Parabolas

This video tutorial provides a quick overview of vocabulary related to quadratic functions, including terms like parent function, parabola, vertex, and y-intercept. It explains how to graph parabolas, discusses their end behavior, and identifies key features such as the axis of symmetry and intercepts. The video includes practice exercises to reinforce learning and concludes with a review of the material covered.

What is the equation of the parent function of a quadratic?

• y = x^3

• y = x^2

• y = 2x

• y = x + 2

Which term describes the highest or lowest point on a parabola?

• X-intercept

• Vertex

• Y-intercept

• Axis of symmetry

What is the imaginary vertical line that divides a parabola into two symmetrical halves called?

• Vertex

• Axis of symmetry

• Y-intercept

• X-intercept

What happens to the parabola when the equation is y = -x^2?

• It opens downwards

• It becomes a circle

• It opens upwards

• It becomes a straight line

What is the end behavior of a positive parabola?

• Y-values decrease

• Y-values remain constant

• Y-values increase

• Y-values form a circle

Which feature is identified by the point where the graph crosses the y-axis?

• Y-intercept

• X-intercept

• Vertex

• Axis of symmetry

What are the synonyms for the x-intercept?

• Vertex, Axis, Y-intercept

• Roots, Zeros, Solutions

• Parabola, Function, Graph

• Minimum, Maximum, Vertex

In a negative parabola, what is the vertex known as?

• Axis

• Intercept

• Maximum

• Minimum

What is the term for the shape created by a quadratic function?

• Circle

• Line

• Parabola

• Ellipse

What is the significance of the axis of symmetry in a parabola?

• It is the highest point of the parabola

• It divides the parabola into two equal halves

• It determines the width of the parabola

• It is the lowest point of the parabola