Quadratic Functions and Features

Front

Define X-intercept

Back

Where the parabola touches or intersects the x-axis.

Front

What is the domain of a quadratic function?

Back

All real numbers.

Front

Find the decreasing interval of the function y = ax^2 + bx + c.

Back

x < -b/(2a) if a > 0.

Front

What is the significance of the ordered pair (1, -2) to the graph of a quadratic function?

Back

It is the vertex.

Front

Identify the vertex and direction of opening for the function y = a(x-h)^2 + k.

Back

Vertex: (h, k); Opens up if a > 0, down if a < 0.

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c.

Front

What does the 'a' in the quadratic function y = ax^2 + bx + c determine?

Back

The direction of the parabola (opens up if a > 0, down if a < 0).

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a).

Front

What is the vertex form of a quadratic function?

Back

y = a(x-h)^2 + k.

Front

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

Back

[k, ∞) where (h, k) is the vertex.