← Maths syllabus

LouisianaMaths

Quadratics

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you graph a quadratic function and find its vertex, axis of symmetry, and intercepts?

Graph a quadratic function and identify the vertex, axis of symmetry, intercepts, and direction of opening (LA A1: F-IF.C.7, F-IF.B.4).
A Louisiana LEAP 2025 Algebra I answer on graphing quadratics (LA A1: F-IF.C.7): the parabola shape, the axis of symmetry and vertex, the y- and x-intercepts, and the direction of opening from the sign of a.
10 min answer →

How do you model a real situation with a quadratic and interpret the vertex and zeros in context?

Model real-world situations with quadratic functions and interpret the vertex, zeros, and intercepts in context, such as projectile height and area (LA A1: A-CED.A.1, F-IF.B.4).
A Louisiana LEAP 2025 Algebra I answer on quadratic applications (LA A1: A-CED.A.1, F-IF.B.4): projectile height and area problems, interpreting the vertex as a maximum and the zeros as key times or dimensions.
10 min answer →

How do you use the reference-sheet quadratic formula to solve any quadratic, and what does the discriminant tell you about the solutions?

Solve quadratic equations using the quadratic formula from the reference sheet, and use the discriminant to determine the number of real solutions (LA A1: A-REI.B.4).
A Louisiana LEAP 2025 Algebra I answer on the quadratic formula (LA A1: A-REI.B.4): the reference-sheet formula, substituting with correct signs, simplest radical form, and using the discriminant to count real solutions.
11 min answer →

How do you solve a quadratic equation by factoring, and why does the zero product property give the solutions?

Solve quadratic equations by factoring and applying the zero product property (LA A1: A-REI.B.4, A-SSE.B.3).
A Louisiana LEAP 2025 Algebra I answer on solving quadratics by factoring (LA A1: A-REI.B.4): standard form, factoring the trinomial, the zero product property, and reading the solutions as the zeros.
9 min answer →

How do you solve a quadratic by taking square roots or by completing the square, and when is each method best?

Solve quadratic equations by taking square roots and by completing the square, and use completing the square to write vertex form (LA A1: A-REI.B.4, A-SSE.B.3).
A Louisiana LEAP 2025 Algebra I answer on square roots and completing the square (LA A1: A-REI.B.4): isolating a square and taking the root with plus-or-minus, the half-of-b-squared constant, and producing vertex form.
10 min answer →