Exploring Characteristics of Quadratic Functions

This video tutorial covers the characteristics of quadratic functions, focusing on parabolas. It explains the standard and vertex forms of quadratic equations and their equalities. The tutorial discusses the orientation of parabolas, zeros, and the axis of symmetry. It also highlights the importance of the vertex and y-intercept in graphing quadratic functions.

What are the two forms of quadratic equations mentioned in the video?

• Standard form and Vertex form

• Vertex form and Factored form

• Factored form and Polynomial form

• Standard form and Factored form

Which direction can parabolas open?

• Left or Right

• Up or Down

• Horizontally

• Diagonal

What are zeros also known as?

• Intercepts

• Roots

• Symmetries

• Vertices

Where do zeros occur on a graph?

• Where x equals 0

• Where y equals 0

• At the vertex

• At the axis of symmetry

What is the axis of symmetry?

• A curved line dividing the parabola

• A diagonal line dividing the parabola

• A vertical line dividing the parabola

• A horizontal line dividing the parabola

What is the equation of a vertical line?

• y = mx + b

• x = constant

• x = my + b

• y = constant

What is the vertex of a parabola?

• The point where the axis of symmetry and the parabola meet

• The point where the parabola crosses the y-axis

• The highest or lowest point on the parabola

• The point where the parabola crosses the x-axis

What determines if the vertex is a maximum or minimum?

• The value of the x-intercept

• The axis of symmetry

• The value of the y-intercept

• The direction the parabola opens

Where does the y-intercept occur?

• At the vertex

• Where y equals 0

• At the axis of symmetry

• Where x equals 0

What is the y-intercept of the given graph?

• 2, 1

• 0, 3

• 0, -3

• 1, 2