staar math 8

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How do you represent a translation of a point in a coordinate plane?

Back

A translation can be represented by the rule (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, calculated as the rise over run.

Front

What is the rule for translating a shape 4 units left and 5 units up?

Back

The rule is (x, y) → (x - 4, y + 5).

Front

What does it mean for a mapping to represent y as a function of x?

Back

It means that each x-value corresponds to exactly one y-value.

Front

How do you determine the rate of change from a graph?

Back

The rate of change is determined by the slope of the line on the graph, calculated as the change in y divided by the change in x.

Front

What is the transformation rule for moving a triangle 2 units right and 3 units down?

Back

The transformation rule is (x, y) → (x + 2, y - 3).

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What does it mean for a graph to be linear?

Back

A linear graph represents a constant rate of change and can be expressed with a linear equation of the form y = mx + b.