Understanding Quadratic Functions

The video tutorial covers quadratic functions, focusing on finding x and y intercepts, the axis of symmetry, and the vertex. It explains how to graph a parabola by using these elements and demonstrates the symmetry of the graph. The tutorial provides a step-by-step approach to solving a quadratic equation and plotting the graph, ensuring a comprehensive understanding of the topic.

What shape does the graph of a quadratic function produce?

• Circle

• Ellipse

• Parabola

• Hyperbola

If a parabola opens downwards, what can be said about the coefficient 'A'?

• 'A' is positive

• 'A' is zero

• 'A' is negative

• 'A' is undefined

How do you find the x-intercepts of a quadratic function?

• Set x to zero and solve for y

• Set y to zero and solve for x

• Set both x and y to zero

• Solve for the vertex

What is the equation for the axis of symmetry in a quadratic function?

• x = -B / 2A

• y = -B / 2A

• y = B / 2A

• x = B / 2A

Where does the axis of symmetry pass through on a parabola?

• The vertex

• The origin

• The x-intercept

• The y-intercept

What are the x-intercepts of the equation 0 = x^2 - x - 6?

• (0, 3) and (0, -2)

• (3, 0) and (-2, 0)

• (3, 3) and (-2, -2)

• (0, 0) and (6, 0)

What is the y-intercept of the equation y = x^2 - x - 6?

• (6, 0)

• (0, 6)

• (0, -6)

• (-6, 0)

What is the vertex of the parabola given by the equation y = x^2 - x - 6?

• (0.5, -6.25)

• (1, -5.5)

• (1, -6)

• (0, -6)

Which point is not on the parabola y = x^2 - x - 6?

• (-2, 0)

• (1, 1)

• (3, 0)

• (2, -4)

Why is it helpful to sketch the axis of symmetry when graphing a parabola?

• It helps find the vertex

• It helps find the y-intercept

• It helps find the x-intercept

• It helps find symmetrical points