Key Features of Quadratics

Front

What is the vertex of a quadratic graph?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, representing the maximum or minimum value.

Front

What does the ordered pair (0, -2) represent on a quadratic graph?

Back

It is the y-intercept, where the graph crosses the y-axis.

Front

What is the set of x values for which the graph of a quadratic function goes downward called?

Back

Decreasing interval.

Front

What is the set of x values for which the graph of a quadratic function goes upward called?

Back

Increasing interval.

Front

What is the axis of symmetry in a quadratic graph?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' in a quadratic equation determine?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the significance of the x-intercepts of a quadratic graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, representing the solutions to the equation.

Front

How can you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What is the range of a quadratic function that opens upwards?

Back

The range is all real numbers greater than or equal to the y-coordinate of the vertex.