Quadratic Functions Review - Gavit Algebra II Edition

Front

What is a quadratic function?

Back

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

Front

What does it mean for a parabola to open upwards?

Back

A parabola opens upwards if the coefficient of x² (a) is positive, indicating that the vertex is a minimum point.

Front

What does it mean for a parabola to open downwards?

Back

A parabola opens downwards if the coefficient of x² (a) is negative, indicating that the vertex is a maximum point.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens up or down.

Front

How do you find the x-intercepts of a quadratic function?

Back

The x-intercepts can be found by setting the quadratic equation to zero and solving for x.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the maximum height of a projectile modeled by a quadratic function?

Back

The maximum height occurs at the vertex of the function, which can be found using the vertex formula.

Front

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

Back

If the coefficient of x² (a) is positive, the function has a minimum value; if negative, it has a maximum value.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the factored form of a quadratic function?

Back

The factored form is y = a(x - r1)(x - r2), where r1 and r2 are the roots or x-intercepts of the function.