Understanding Quadratics

This video tutorial explores quadratic equations, focusing on their graphical representations. It explains how the sign of the quadratic term affects the graph's shape, either U-shaped or N-shaped. The video details how to connect the equation to its graph by identifying roots and the Y-intercept. It provides guidance on sketching quadratics quickly by using these key points. The tutorial also introduces the concept of turning points and axes of symmetry, setting the stage for further exploration in subsequent videos.

What shape does a quadratic graph take when the coefficient of x² is positive?

• A circle

• A straight line

• A U-shaped curve

• A parabola opening downwards

What are the solutions of a quadratic equation commonly called?

• Roots

• Intercepts

• Factors

• Vertices

Where does a quadratic graph intersect the x-axis?

• At the axis of symmetry

• At the vertex

• At the roots

• At the y-intercept

What does the constant term in a quadratic equation represent on its graph?

• The x-intercept

• The y-intercept

• The axis of symmetry

• The vertex

How can you determine the shape of a quadratic graph from its equation?

• By finding the roots

• By looking at the constant term

• By calculating the vertex

• By checking the sign of the x² coefficient

What is the y-intercept of the quadratic equation y = x² + 2x - 8?

• 8

• 0

• 2

• -8

Which of the following is NOT a point you can easily find on a quadratic graph?

• X-intercepts

• Slope

• Vertex

• Y-intercept

What should you be cautious of when sketching a negative quadratic?

• The y-intercept

• The number of roots

• The direction of the curve

• The axis of symmetry

What upcoming topic involves finding the maximum or minimum point on a quadratic graph?

• Roots

• Symmetry

• Intercepts

• Turning points

What property of quadratics will be explored in the next video?

• Symmetry

• Intercepts

• Slope

• Roots