Chapter 1 Review

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

How do you translate a quadratic function up by 5 units?

Back

To translate a quadratic function up by 5 units, you add 5 to the function. For example, y = x² becomes y = x² + 5.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the range of a graphed function?

Back

To determine the range of a graphed function, identify the lowest and highest points on the graph and express them in interval notation.

Front

What does it mean to shift a function up?

Back

Shifting a function up means increasing the output values of the function by a certain amount, resulting in a vertical translation of the graph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you find the domain of a relation?

Back

To find the domain of a relation, list all the unique x-values from the ordered pairs in the relation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What does it mean if a system of equations has no solution?

Back

A system of equations has no solution if the equations represent parallel lines that never intersect.

Front

What is a transformation in mathematics?

Back

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