Solving an Equation of Second Degree in One Unknown Graphically and Algebraically: Solving Quadratic Equations Graphical

The video tutorial introduces the concept of orbits and parabolas, explaining how parabolas are derived from quadratic equations. It covers the process of solving quadratic equations using graphs, detailing the significance of the coefficients and the solutions based on the graph's intersection with the X-axis. An example problem is solved to demonstrate finding the solution set and the minimum value of a quadratic function. The tutorial concludes with a summary of the learning outcomes, emphasizing the ability to find solutions and define the vertex and minimum value of quadratic functions.

What shape does the orbit resemble when graphed as a quadratic equation?

• Hyperbola

• Parabola

• Ellipse

• Circle

In a quadratic equation AX^2 + BX + C = 0, what is the term 'C' referred to as?

• Variable term

• Coefficient of X

• Coefficient of X^2

• Absolute term

How many real solutions does a quadratic equation have if its graph touches the X-axis at one point?

• Two

• One

• None

• Infinite

What are the intersection points with the X-axis for the equation X^2 - 2X - 3 = 0?

• 1 and 3

• -1 and 3

• -2 and 3

• 0 and 3

What is the minimum value of the function for the equation X^2 - 2X - 3?

• -4

• -3

• 1

• 0