MA - Transformations of Graphs

A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear, quadratic, cubic, absolute value, and square root functions.

Reflecting a graph means flipping it over a specific axis. For example, reflecting over the x-axis changes the sign of the output values (y-values).

A transformation of 'Right 2' means that the graph of the function is shifted 2 units to the right along the x-axis.

A transformation of 'Down 3' means that the graph of the function is shifted 3 units downward along the y-axis.

A transformation of 'Left 4' means that the graph of the function is shifted 4 units to the left along the x-axis.

A transformation of 'Up 8' means that the graph of the function is shifted 8 units upward along the y-axis.

The parent function is the absolute value function, f(x) = |x|.

The 'h' indicates a horizontal transformation, shifting the graph left or right.

The parent function is the quadratic function, f(x) = x^2.

Reflecting f(x) = x^2 over the x-axis results in f(x) = -x^2, flipping the graph upside down.