Quadratic Transformations

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x².

Front

What effect does a positive 'a' value have on the graph of a quadratic function?

Back

A positive 'a' value opens the parabola upwards.

Front

What effect does a negative 'a' value have on the graph of a quadratic function?

Back

A negative 'a' value opens the parabola downwards.

Front

What does a vertical stretch by a factor of 'k' do to the graph of a quadratic function?

Back

A vertical stretch by a factor of 'k' makes the graph narrower.

Front

What does a vertical shrink by a factor of 'k' do to the graph of a quadratic function?

Back

A vertical shrink by a factor of 'k' makes the graph wider.

Front

How does a horizontal shift to the right affect the equation of a quadratic function?

Back

A horizontal shift to the right by 'h' units is represented by the equation y = (x - h)².

Front

How does a horizontal shift to the left affect the equation of a quadratic function?

Back

A horizontal shift to the left by 'h' units is represented by the equation y = (x + h)².

Front

What is the effect of a vertical shift up in a quadratic function?

Back

A vertical shift up by 'k' units is represented by the equation y = x² + k.