TEKS: Chapter 111. Mathematics See All Teacher Resources
111.40.c.4
(4) Quadratic and square root functions, equations, and inequalities. The student applies mathematical processes to understand that quadratic and square root functions, equations, and quadratic inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:
- (A) write the quadratic function given three specified points in the plane;
- (C) determine the effect on the graph of f(x) = √x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d;
- (D) transform a quadratic function f(x) = ax2 + bx + c to the form f(x) = a(x - h)2 + k to identify the different attributes of f(x);
- (E) formulate quadratic and square root equations using technology given a table of data;
- (F) solve quadratic and square root equations;
- (G) identify extraneous solutions of square root equations; and
- (H) solve quadratic inequalities.