Algebra 1 transformations Jan 27

Front

What is a transformation in algebra?

Back

A transformation in algebra refers to the process of changing a function's position, shape, or size on a graph.

Front

What does the transformation p(x) = f(x + 3) represent?

Back

It represents a horizontal shift of the graph of f(x) to the left by 3 units.

Front

What does the transformation h(x) = f(x) + 2 represent?

Back

It represents a vertical shift of the graph of f(x) upward by 2 units.

Front

What does the transformation g(x) = -x^3 + 5 represent?

Back

It represents a reflection of the graph of x^3 over the x-axis and a vertical shift upward by 5 units.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does the transformation m(x) = f(x + 1) represent?

Back

It represents a horizontal shift of the graph of f(x) to the left by 1 unit.

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis, making it taller.

Front

What does a reflection over the x-axis do to a function?

Back

A reflection over the x-axis flips the graph of the function upside down.

Front

What does a reflection over the y-axis do to a function?

Back

A reflection over the y-axis flips the graph of the function horizontally.

Front

What is the effect of adding a constant to a function, like f(x) + c?

Back

Adding a constant c to a function shifts the graph vertically by c units.