Intro to Quadratics

Front

What is a quadratic function?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of 'a'.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens downwards or upwards.

Front

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

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the y-intercept of a quadratic function?

Back

Front

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

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

What is the difference between a minimum and maximum value in a quadratic function?

Back

A minimum value occurs at the vertex of a parabola that opens upwards, while a maximum value occurs at the vertex of a parabola that opens downwards.

Front

How do transformations affect the graph of a quadratic function?

Back

Transformations such as shifts, stretches, and reflections change the position and shape of the graph. For example, adding a constant shifts the graph vertically.