Characteristics of Quadratics

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

What is the domain of a quadratic function?

Back

All real numbers.

Front

The axis of symmetry of a parabola is represented by which equation?

Back

x = [value] (where [value] is the x-coordinate of the vertex)

Front

What is the vertex of the quadratic function represented by the point (3, -1)?

Back

(3, -1)

Front

Which statement is TRUE about a quadratic function that opens upwards?

Back

This function has a Minimum.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a ≠ 0.

Front

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

Back

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

Front

How can you find the x-coordinate of the vertex from the standard form of a quadratic?

Back

x = -b/(2a).

Front

What is the range of a quadratic function that opens upwards?

Back

[k, ∞) where k is the y-coordinate of the vertex.

Front

What is the effect of changing the 'c' value in the standard form of a quadratic?

Back

It shifts the graph up or down without affecting the shape.