Quadratic Functions Vocabulary & Vertex

Front

What is the vertex of the quadratic function y=x^2+4x+3?

Back

(-2,-1)

Front

What is the minimum of a quadratic function?

Back

The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing.

Front

Where is the axis of symmetry for a parabola with vertex (-3,2)?

Back

x = -3

Front

Does the graph of a parabola with a vertex at (0,0) have a maximum or minimum value?

Back

minimum

Front

What is the maximum of a quadratic function?

Back

The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing.

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

What does the term 'parabola' refer to?

Back

The U-shaped graph of a quadratic function.

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the significance of the 'a' value in a quadratic function?

Back

It determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.