Graphing Quadratic Equations

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x-h)² + k.

Front

What is the axis of symmetry in a quadratic graph?

Back

The axis of symmetry is the line that divides the graph into two equal halves.

Front

How can you determine if a quadratic graph has a maximum or minimum value?

Back

If the parabola opens upwards, it has a minimum; if it opens downwards, it has a maximum.

Front

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

Back

The 'a' value determines the direction of the parabola (upward or downward) and its width.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, then substitute back to find y.

Front

What is the significance of the 'b' value in a quadratic equation?

Back

The 'b' value affects the position of the vertex and the axis of symmetry.

Front

What is the significance of the 'c' value in a quadratic equation?

Back

The 'c' value represents the y-intercept of the quadratic function.