Graph Transformation:
A group of students is currently learning Pre-calculus, the introduction to calculus. A part of our lesson is to understand functions and their transformation.
Graph transformation is about understanding how does the graph change if we add, subtract, or multiply a certain value to a function. To be a function, an x-value can only correspond to one y-value.
This is a function because none of the x-value corresponds to more than one y-value.
The graph shifts upward by 5 units.
(-2, -8) → (-2, -3) (0, 0) → (0, 5) (2, 8) → (2, 13)