Solving Quadratic Equations by Graphing

Front

What are the solutions of a quadratic equation called?

Back

Roots

Front

What is another name for the solutions to a quadratic equation?

Back

Zeros

Front

How many solutions can a quadratic equation have?

Back

A quadratic equation can have 0, 1, or 2 real solutions.

Front

What do the x-intercepts of a quadratic graph represent?

Back

The x-intercepts represent the solutions or roots of the quadratic equation.

Front

If a quadratic equation has no real solutions, what does its graph look like?

Back

The graph does not intersect the x-axis.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of the quadratic function.

Front

How can you determine the number of solutions from a graph?

Back

Count the number of times the graph intersects the x-axis.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What does the 'a' value in a quadratic equation affect?

Back

The 'a' value affects the direction and width of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images.