TEKS 111.40(c)(4)(B)
write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening;
Source: Texas Administrative Code §111.40 (Chapter 111) · Adopted 2012
Knowledge & Skills 111.40(c)(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:
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Other expectations under 111.40(c)(4)
- TEKS 111.40(c)(4)(A) write the quadratic function given three specified points in the plane;
- TEKS 111.40(c)(4)(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;
- TEKS 111.40(c)(4)(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);
- TEKS 111.40(c)(4)(E) formulate quadratic and square root equations using technology given a table of data;
- TEKS 111.40(c)(4)(F) solve quadratic and square root equations;
- TEKS 111.40(c)(4)(G) identify extraneous solutions of square root equations; and
- TEKS 111.40(c)(4)(H) solve quadratic inequalities.