Algebra 1 Horizontal Transformations

Front

What is a horizontal transformation in algebra?

Back

A horizontal transformation involves shifting a function left or right along the x-axis.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x².

Front

How does the equation y = (x + 4)² represent a transformation?

Back

It represents a horizontal shift of the quadratic function left by 4 units.

Front

What happens to the graph of f(x) = x when transformed to g(x) = f(x + 3)?

Back

The graph shifts left by 3 units.

Front

What is the effect of adding a positive number inside the function's argument?

Back

It results in a horizontal shift to the left.

Front

What is the effect of subtracting a positive number inside the function's argument?

Back

It results in a horizontal shift to the right.

Front

What is the parent function of an absolute value equation?

Back

The parent function of an absolute value equation is f(x) = |x|.

Front

If f(x) = (x - 2)², how is the parent function transformed?

Back

It is shifted right by 2 units.

Front

What does the equation g(x) = f(x - 5) indicate about the transformation?

Back

It indicates a horizontal shift of the function right by 5 units.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax² + bx + c.