Transformations and Parent Functions

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

Define a parent function.

Back

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions.

Front

What does it mean to translate a function to the right?

Back

Translating a function to the right means shifting the graph horizontally to the right by a certain number of units.

Front

What is the effect of reflecting a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

How do you represent a quadratic function?

Back

A quadratic function can be represented in the form y = ax² + bx + c, where a, b, and c are constants.

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 upwards or downwards.

Front

What does the term 'absolute value' refer to?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

How do you shift an absolute value graph to the right?

Back

To shift an absolute value graph to the right, you replace x with (x - h) in the function, where h is the number of units to shift.

Front

What is a linear system?

Back

A linear system is a collection of two or more linear equations involving the same variables.

Front

What does it mean for a system of equations to intersect?

Back

If a system of equations intersects, it means there is at least one solution where the graphs of the equations meet at a point.