Solving Systems of Quadratic and Linear Equations by Graphing

What is a system of equations?

• A single equation with multiple variables

• A group of two or more equations

• An equation with no solutions

• A graph with no intersections

What is a common mistake when graphing equations?

• Using a graphing calculator

• Sketching the wrong graph

• Using a pencil and paper

• Finding the correct solution

In the first example, what type of graph is represented by the equation x squared minus 2x plus 1 equals y?

• A circle

• An ellipse

• A line

• A parabola

In the second example, what is the center of the circle represented by the equation x squared plus y squared equals 4?

• (1, 1)

• (4, 4)

• (2, 2)

• (0, 0)

What conclusion can be drawn if two graphs do not intersect?

• There are infinite solutions

• There are no real number solutions

• There is exactly one solution

• The graphs are identical