Quadratic Flashcard 3/21

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

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

Back

The range is from the minimum value to positive infinity.

Front

What is the name of the U-shaped quadratic function?

Back

Parabola.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola.

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value is the y-coordinate of the vertex.

Front

What are the roots of a quadratic function?

Back

The roots are the x-values where the function intersects the x-axis.

Front

What is the axis of symmetry in a parabola?

Back

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

Front

How can you find the vertex of a parabola given the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the number and type of roots.