Quadratic functions can be transformed using the same transformations we learned in Unit 1.
We can calculate average rates of change between any two points on a quadratic function just like we learned in Unit 1.
A quadratic function can be represented in the same four ways we learned in Unit 1: graph, table, equation, verbal description.
Quadratic equations can be represented in 3 main forms: standard form, factored form, and vertex form:
Standard form is helpful when needing to know the y-intercept of a quadratic function (e.g., when the input value is 0)
Factored form is helpful when needing to know the "zeros" or x-intercepts of a quadratic function
Vertex form is helpful when needing to know the vertex of a quadratic function (e.g., maximum or minimum value)
The three forms can be converted from one to another using fundamental algebra skills learned in Algebra 1:
Factoring & Distributing
Completing the Square
Quadratics can be solved using any of the following methods:
Factoring
Graphing and looking for zeros
Quadratic formula
Quadratics sometimes have complex number solutions (involving the imaginary number "i "). As as result, working with complex numbers is covered here.