Quadratic Graphs & Characteristics

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 y ≥ k, where k is the minimum value of the function.

Front

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

Back

The range is y ≤ k, where k is the maximum value of the function.

Front

What shape do quadratic equations take when graphed?

Back

Quadratic equations take the shape of a parabola.

Front

What are the x-intercepts of a parabola?

Back

The x-intercepts are the points where the parabola crosses the x-axis, found by solving the equation ax² + bx + c = 0.

Front

What is the vertex of a parabola?

Back

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

Front

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

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by x = -b/2a.

Front

What does the 'a' value in a quadratic function ax² + bx + c indicate?

Back

The 'a' value indicates the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

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 of the parabola.