What are the different types of solutions to a quadratic equation

The video tutorial discusses the concepts of Y and X intercepts in graphs, focusing on quadratics. It explains that while Y intercepts are always present, X intercepts can vary. The tutorial explores three types of X intercepts in quadratics: one intercept where the graph touches the X-axis, two intercepts where the graph crosses the X-axis, and no intercepts where the graph does not touch the X-axis. Understanding these variations is crucial for graphing quadratics.

What is always present in a graph, regardless of its type?

• Both X and Y intercepts

• X intercept

• Neither X nor Y intercepts

• Y intercept

In a quadratic graph, what does it mean if there is exactly one X intercept?

• The graph crosses the X axis at two points

• The graph crosses the X axis at one point

• The graph touches the X axis at one point and rebounds

• The graph does not touch the X axis

What shape is typically associated with a quadratic graph?

• V-shaped

• U-shaped

• L-shaped

• S-shaped

How many X intercepts can a quadratic graph have?

• Only two

• One or two

• None, one, or two

• Only one

Which scenario is not possible for the X intercepts of a quadratic graph?

• No X intercepts

• One X intercept

• Two X intercepts

• Three X intercepts