Math Problem Statement

Graph these parabolas: (a) f(x) = x^2 - 2x - 1 (b) f(x) = 2x^2 - 10x + 12 (c) f(x) = x^2 + 4

Solution

The given functions are quadratic equations, which represent parabol

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Graphing Parabolas
Vertex and Axis of Symmetry

Formulas

Standard form of a quadratic equation: f(x) = ax^2 + bx + c
Vertex formula: (-b / 2a, f(-b / 2a))
Axis of symmetry: x = -b / 2a

Theorems

Properties of Parabolas
Vertex Formula

Suitable Grade Level

Grades 9-11

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