Transformations of Quadratic Functions

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Reflection across the x-axis.

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Shift 4 units down.

Front

What does the 'h' value control in this quadratic function?

Back

Shifting the parabola left or right (horizontal translation).

Front

What does the 'k' value control in this quadratic function?

Back

Shifting the parabola up or down (vertical translation).

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Vertical Stretch.

Front

What is a quadratic function?

Back

A function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

How does a positive 'k' value affect the graph of a quadratic function?

Back

It shifts the graph upward by 'k' units.

Front

How does a negative 'h' value affect the graph of a quadratic function?

Back

It shifts the graph to the left by 'h' units.