Transformations: Vertical and Horizontal Translation Review

Front

What is a vertical translation in a function?

Back

A vertical translation shifts the graph of a function up or down without changing its shape.

Front

How does adding a constant to a function affect its graph?

Back

Adding a constant to a function shifts the graph vertically. For example, f(x) = x + 7 shifts the graph up by 7 units.

Front

What is a horizontal translation in a function?

Back

A horizontal translation shifts the graph of a function left or right without changing its shape.

Front

How does subtracting a constant from x in a function affect its graph?

Back

Subtracting a constant from x shifts the graph to the right. For example, f(x) = (x - 4)² shifts the graph 4 units to the right.

Front

What is the parent function of a quadratic equation?

Back

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

Front

What is the parent function of a square root equation?

Back

The parent function of a square root equation is f(x) = √x.

Front

How do you represent a quadratic function translated 4 units to the left?

Back

The equation is y = (x + 4)².

Front

What effect does a negative sign have in front of a square root function?

Back

A negative sign reflects the graph of the square root function across the x-axis.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How does the value of 'a' in a quadratic function affect its graph?

Back

The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.