Quadratic Functions Review Game

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax² + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

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

Back

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

Front

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

Back

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

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x = 0.

Tags

CCSS.HSF-IF.C.7A

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, given by the equation x = -b/(2a).

Front

What is the maximum value of a quadratic function?

Back

The maximum value occurs at the vertex if the parabola opens downwards (a < 0).

Front

What is the minimum value of a quadratic function?

Back

The minimum value occurs at the vertex if the parabola opens upwards (a > 0).

Front

How can you determine if a quadratic function has a maximum or minimum value?

Back

By examining the 'a' value: if a < 0, it has a maximum; if a > 0, it has a minimum.