Warm Up 12/02/2024 Key Features of Quadratics

Front

What is the range of a quadratic function with a minimum value of -2?

Back

[-2, +∞)

Front

What is the set of all y values used in a function's graph called?

Back

Range

Front

What is the set of all x values used in a function's graph called?

Back

Domain

Front

What do we call the set of x values for which the graph of a function goes downward?

Back

Decreasing interval

Front

What is the increasing interval for a quadratic function that reaches its maximum at x = 2?

Back

(-∞, 2]

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph of the function.

Front

How do you determine the axis of symmetry for a quadratic function?

Back

The axis of symmetry is given by the formula x = -b/(2a) for a quadratic in the form ax^2 + bx + c.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic function determine?

Back

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

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 of the quadratic equation.