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0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

1. Equations & Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs of Equations(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

Dividing Polynomials
(0)

Zeros of Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

9. Sequences, Series, & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

10. Combinatorics & Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

4. Polynomial Functions

Quadratic Functions

4. Polynomial Functions

Quadratic Functions: Videos & Practice Problems

Video Lessons Practice Worksheet

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Problem 43Multiple Choice

Given the equation for parabola f(x) = -3x² + 12x - 56, determine its minimum or maximum value and the point where it occurs. Identify also its domain and range. Refer to the equation only and not from its graph.

minimum of 44 at (-2,44), domain: set of all real numbers, range: [44,+∞)

minimum of -44 at (2,-44), domain: set of all real numbers, range: [-44,+∞)

maximum of -44 at (2,-44), domain: set of all real numbers, range: (-∞,-44]

maximum of 44 at (2,44), domain: set of all real numbers, range: (-∞,44]

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Quadratic Functions: Videos & Practice Problems

Given the equation for parabola f(x) = -3x2 + 12x - 56, determine its minimum or maximum value and the point where it occurs. Identify also its domain and range. Refer to the equation only and not from its graph.

Given the equation for parabola f(x) = -3x² + 12x - 56, determine its minimum or maximum value and the point where it occurs. Identify also its domain and range. Refer to the equation only and not from its graph.