Quadratic Functions

Front

What is the green dashed line called?

Back

Axis of symmetry

Front

What are the roots of the parabola?

Back

The points where the parabola intersects the x-axis.

Front

The vertex of this parabola is...

Back

The highest or lowest point of the parabola.

Front

What is the equation for axis of symmetry?

Back

x = h, where h is the x-coordinate of the vertex.

Front

What do we call the graph of a quadratic function?

Back

Parabola

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' in the quadratic function determine?

Back

The direction and width of the parabola.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph crosses the x-axis.

Front

How can you find the vertex of a parabola given its equation?

Back

Use the formula h = -b/(2a) to find the x-coordinate.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots (real and distinct, real and equal, or complex).