Evidence of Understanding

**compare functions within a family and describe the transformations from the parent function**- describe
**transformations**between the**parent function**and another function in the same family- describe the
**translation**(vertical or horizontal shift),**reflection**over a line, or**dilation**in the rate of change - use words or symbolic notations
*Example: The graph shifted up 3 from the parent function and in the table of values the outputs are 3 units higher compared to the parent function.*

- describe the
- create a graph, table of values, or equation for a function given the parent function and a stated transformation

- describe
**describe how transformations impact the zeros, critical points, and rate of change of a function**- describe how points of a function change as a result of a given transformation
- identify what stays the same and what is different

- explain how translations, f(x) + k or f(x + k), and reflections, f(x) or f(-x), preserve distances within the original function but only translations preserve orientation
- explain how dilations, k ● f(x), impact the instantaneous rate of change for all points of a function except the mins and maxs

- describe how points of a function change as a result of a given transformation

Develop conceptual understanding:

transformation, parent function, translation, reflection, dilation

Supporting terms to communicate:

input, output, independent, dependent, domain, range, symmetry, rate of change, end behavior, interval, intercepts, zeros, roots, critical points, linear, absolute value, quadratic, cubic, polynomial, square and cube root, exponential, logarithmic, periodic, rational