Evidence of Understanding

**compare and describe quadratic functions in relation to their parent function, f(x) = x**^{2}- describe translations (vertical or horizontal shift), reflections, or dilations from a given table or graph with the parent function
*Example: “I noticed each y-value is 3 times the parent function y-value.”**Example: “It shifted 3 units left from the parent function, it reflected over the x axis, etc.”*

- explain how transformations impact the key characteristics of a quadratic function
- compare the
**intercepts**,**vertex**,**axis of symmetry**, and intervals that are increasing, decreasing, positive, or negative for the parent function with another function

- compare the
- create a graph, rule, or table of values given a stated transformation and a parent function
*Example: given f(x) = (x + 3)*^{2}and the table, graph, or stated transformation of g(x), write an equation of g(x) in terms of f(x)

- describe translations (vertical or horizontal shift), reflections, or dilations from a given table or graph with the parent function

**analyze characteristics that distinguish a quadratic function from other function families**- recognize the lead coefficient, degree, and constant in any
**polynomial function**- describe
**quadratic functions**as a subset of polynomial functions with a**degree**of 2

- describe
- interpret quadratic graphs, tables, and equations written in
**factored**,**standard**, and**vertex form**to distinguish characteristics that are consistent for all quadratic functions*Example: recognize all quadratics have 0, 1, or 2 x-intercepts and exactly 1 y-intercept*- describe how the vertex, axis of symmetry, and
**zeros**for all quadratics are related - connect the factors of any polynomial function with the x intercepts on its graph

- identify the zeroes from factored form, the vertex and axis of symmetry from vertex form, and the y-intercept from standard form of a quadratic function
- strategically use a graphing calculator to explore and describe characteristics

- differentiate characteristics for quadratic functions each represented in different way
- compare quadratic functions using their vertexes and intercepts

- recognize the lead coefficient, degree, and constant in any

Develop conceptual understanding:

factor, factored form, standard form, vertex form

Supporting terms to communicate:

function, quadratic, parabola, y intercept, axis of symmetry, reflection, turning point, maximum, minimum, vertex, x intercept, root, average, domain, range, equivalent