Review: Key Features of Quadratic Functions

Front

What is the equation of the axis of symmetry for a quadratic function?

Back

The equation of the axis of symmetry is given by x = -b/(2a), where a and b are coefficients from the quadratic equation in the form y = ax^2 + bx + c.

Front

What does it mean if a quadratic function has a vertex that is a minimum?

Back

If a quadratic function has a vertex that is a minimum, it means the parabola opens upwards and the vertex represents the lowest point on the graph.

Front

What is the significance of the ordered pair (1, -2) in the context of a quadratic function?

Back

The ordered pair (1, -2) represents the vertex of the quadratic function if it is the point where the function reaches its minimum or maximum value.

Front

Which statement about the graph of a quadratic function is FALSE?

Back

The axis of symmetry is not y = -3; it should be x = -3 if the vertex is at (-3, 18).

Front

How do you find the increasing interval of a quadratic function?

Back

The increasing interval of a quadratic function can be found by identifying the x-values to the right of the vertex, where the function's output (y-value) increases.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' indicate about the direction of the parabola?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, the parabola opens downwards.

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, depending on whether it opens upwards or downwards.

Front

How do you determine the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating the function at x = 0, which gives the point (0, c) in the standard form y = ax^2 + bx + c.

Front

What is the formula to find the x-intercepts of a quadratic function?

Back

The x-intercepts can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).