What are the x and y intercepts of a quadratic equation

The video tutorial explains the concepts of x-intercepts and y-intercepts in both linear and quadratic equations. It describes how linear equations create lines that intersect the x-axis and y-axis at specific points, known as intercepts. The tutorial then transitions to quadratic equations, which form parabolas, and discusses their unique properties, such as having one or two x-intercepts and always one y-intercept. The video concludes with a summary of these concepts, emphasizing the importance of understanding where graphs intersect the axes.

What is the x-intercept of a linear equation?

• The point where the graph crosses the x-axis

• The point where the graph is at its maximum

• The point where the graph is at its minimum

• The point where the graph crosses the y-axis

In a linear equation, what is always true about the y-coordinate of the x-intercept?

• It is always negative

• It is always 1

• It is always equal to the x-coordinate

• It is always 0

What shape does a quadratic equation produce?

• An ellipse

• A straight line

• A circle

• A parabola

How many x-intercepts can a quadratic graph have?

• None or one

• One or two

• Three or more

• Only one

Is it possible for a quadratic graph to never cross the x-axis?

• Only if it is a linear graph

• No, it always crosses the x-axis

• Only if it is a cubic graph

• Yes, it can happen