Characteristics of Quadratics

Front

What is the quadratic parent function?

Back

y = x²

Front

What is the maximum or minimum value of a quadratic function with vertex (2, -3)?

Back

Minimum of -3

Front

Does the function y = -4x² have a maximum or minimum value?

Back

Maximum

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What does the 'a' in the quadratic function y = ax² + bx + c determine?

Back

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

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the graph.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror images.

Front

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

Back

Use the formula x = -b/(2a).

Front

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

Back

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