Lecture Description
Parabola vertex and axis of symmetry
Practice this lesson yourself on KhanAcademy.org right now:
www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/vertex_of_a_parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/quadratic-functions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphing-a-quadratic-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Course Index
- Example: two-step equation with numerator x | Linear equations | Khan Academ
- Example 2: Variables on both sides | Linear equations
- Solving equations with the distributive property | Linear equations
- A clever application of the distributive property to solve a multi-step equation
- Linear systems word problem with substitution | Systems of equations | 8th grade
- Challenge example: Sum of integers | Linear equations
- Example: Solving for a variable | Linear equations
- Solving for F in terms of C | Linear equations
- Absolute value smallest to biggest | Pre-Algebra
- Absolute value and number lines | Negative numbers and absolute value | Pre-Algebra
- Absolute value equations 1 | Linear equations
- Absolute value equation example 2 | Linear equations
- Patterns in sequences 1 | Linear equations
- Patterns in sequences 2 | Linear equations
- Equations of sequence patterns | Sequences, series and induction | Precalculus
- Finding the 100th term in a sequence | Sequences, series and induction | Precalculus
- Recognize functions from tables | Functions and their graphs I
- Testing if a relationship is a function | Functions and their graphs I
- Domain of modeling functions | Functions and their graphs I
- Domain and range 2 | Functions and their graphs I
- Direct variation 1 | Rational expressions I
- Basic rate problem | Linear equations
- Basic Linear Function
- Modeling with linear equations example 1 | Linear equations and functions | 8th grade
- Recognizing linear functions | Linear equations and functions | 8th grade
- Exploring nonlinear relationships
- Finding the slope of a line from its graph
- Interpreting linear tables word problems example 1
- Finding intercepts from an equation
- x- and y-intercepts 2 | Linear equations and functions | 8th grade
- Graph from slope-intercept equation example
- Equation of a line 2
- Converting linear equations to slope-intercept form | 8th grade
- Writing equations in all forms
- Parallel Lines
- Parallel Lines 2
- Parallel lines 3
- Perpendicular Lines
- Perpendicular lines 2
- Constructing and solving a two-step inequality | Linear inequalities
- Solving a two-step inequality | Linear inequalities
- Constructing and solving a one-step inequality | Linear inequalities
- Absolute value inequalities example 1 | Linear equations
- Absolute inequalities 2 | Linear equations
- Absolute value inequalities example 3 | Linear equations
- Writing and using inequalities | Linear inequalities
- Constructing and solving a multi-step inequality example
- Constructing, solving two-step inequality example | Linear inequalities
- Solving and graphing linear inequalities in two variables 1 | Algebra Basics
- Graphing linear inequalities in two variables 2 (old and redone in newer video)
- Graphing inequalities and checking solutions example
- Solving systems by graphing
- Analyzing solutions to linear systems graphically 1
- Example 3: Graphically solving systems | Systems of equations | 8th grade
- Analyzing solutions to linear systems algebraically
- Example 2: Solving systems by substitution | Systems of equations | 8th grade
- Example 3: Solving systems by substitution | Systems of equations | 8th grade
- Systems of equations word problems example 1
- Example 2: Solving systems by elimination | Systems of equations | 8th grade
- Example 3: Solving systems by elimination | Systems of equations | 8th grade
- Systems and rate problems
- Systems and rate problems 2
- Systems and rate problems 3
- Mixture problems 1
- Mixture problems 2 | Linear equations
- Mixture problems 3 | Linear equations
- Graphing systems of inequalities
- Graphing systems of inequalities and checking solutions example I
- Graphing systems of inequalities 3
- Exponent Rules 1
- Exponent Rules 2
- Exponent Rules 3
- Scientific notation 1
- Scientific notation 2
- U.S. national debt (scientific notation word problem) | Pre-Algebra
- Simplifying expressions with exponents
- Simplifying expressions with exponents 2
- Simplifying expressions with exponents 3
- Pythagorean theorem 1 | Right triangles and trigonometry | Geometry
- Pythagorean theorem 2 | Right triangles and trigonometry | Geometry
- Pythagorean theorem 3 | Right triangles and trigonometry | Geometry
- Simplifying a cube root | Exponents, radicals, and scientific notation | Pre-Algebra
- Simplifying Radical Expressions 2
- Simplifying Radical Expressions 3
- Solving radical equations 1 | Exponent expressions and equations
- Solving radical equations 2 | Exponent expressions and equations
- Solving radical equations 3 | Exponent expressions and equations
- Applying radical equations 1 | Exponent expressions and equations
- Applying radical equations 2 | Exponent expressions and equations
- Applying radical equations 3 | Exponent expressions and equations
- Fractional exponent expressions 1 | Exponent expressions and equations
- Fractional exponent expressions 2 | Exponent expressions and equations
- Fractional exponent expressions 3 | Exponent expressions and equations
- Example 2: Multiplying two monomials with two variables
- Multiplying and dividing monomials 2 | Rational expressions I
- Multiplying and dividing monomials 3 | Rational expressions I
- Example 1: Modeling with polynomials
- Example 2: Modeling with polynomials
- Example 2: Adding polynomials
- Adding and subtracting polynomials | Algebra Basics
- Example 4: Adding and subtracting polynomials
- Multiplying Polynomials1
- Example 3: Modeling with polynomials
- Example 3: Multiplying a binomial by a polynomial word problem I
- Squaring a binomial | Quadratics and polynomials | Algebra Basics
- Example 3: Finding the square of a binomial with two variables
- U08_L2_T4_we3 Special Products of Polynomials 3
- Bay Area CBS Station with Salman Khan
- Factoring and the Distributive Property
- Example 2: Factor a quadratic binomial with two variables by taking a common factor
- Example 4: Factor a polynomial with two variables by taking a common factor
- Example 7: Factor a polynomial with two variables by grouping
- Factoring Trinomials by Grouping 2
- U09_L1_T2_we3 Factoring Trinomials by Grouping 3
- Example 2: Factoring quadratics by grouping
- Example 3: Factoring quadratics by taking a common factor and grouping I
- Example 4: Factoring quadratics by taking a negative common factor and grouping
- Example 3: Factoring quadratics as a perfect square of a sum: (a+b)^2
- Example 5: Factoring a fourth degree polynomial using the "perfect square” form
- Example 6: Factoring a difference of squares with two variables I
- Solving a quadratic equation by factoring I
- Recognizing a perfect square quadratic I
- Dimensions from volume of box | Quadratic equations
- Quadratic Functions 1
- Parabola vertex and axis of symmetry | Quadratic equations
- Graphing a parabola by finding the roots and vertex | Quadratic equations
- Example 1: Completing the square | Quadratic equations
- Example 2: Completing the square | Quadratic equations
- Completing the square for vertex form | Quadratic equations
- Completing the square for quadratic formula | Quadratic equations
- Example 1: Using the quadratic formula | Quadratic equations
- Example 2: Using the quadratic formula | Quadratic equations
- Example 3: Using the quadratic formula | Quadratic equations
- Applying Quadratic Functions 1
- Applying Quadratic Functions 2
- Applying Quadratic Functions 3
- Non-linear systems of equations 1 I
- Non-linear systems of equations 2 I
- Non-linear systems of equations 3 I
- Simplifying rational expressions 1 | Polynomial and rational functions I
- Simplifying rational expressions 2 | Polynomial and rational functions I
- Simplifying rational expressions 3 | Polynomial and rational functions I
- Multiplying and dividing rational expressions 1 I
- Multiplying and dividing rational expressions 2 I
- Multiplying and dividing rational expressions 3 I
- Adding and Subtracting Rational Expressions 1
- Adding and subtracting rational expressions 2 I
- Adding and subtracting rational expressions 3 I
- Solving rational equations 1 | Polynomial and rational functions I
- Solving rational equations 2 | Polynomial and rational functions I
- Solving rational equations 3 | Polynomial and rational functions I
- Applying rational equations 1 | Polynomial and rational functions I
- Applying rational equations 2 | Polynomial and rational functions I
- Applying rational equations 3 | Polynomial and rational functions I
- Number sets 1 | Fractions | Pre-Algebra
- Number sets 2 | Fractions | Pre-Algebra
- Number sets 3 | Fractions | Pre-Algebra
- Understanding Logical Statements 1
- Understanding Logical Statements 2
- Understanding Logical Statements 3
- Understanding Logical Statements 4
- Understanding Logical Statements Commentary
- Inductive reasoning 1 | Sequences, series and induction | Precalculus
- Inductive reasoning 2 | Sequences, series and induction | Precalculus
- Inductive reasoning 3 | Sequences, series and induction | Precalculus
- Difference between inductive and deductive reasoning | Precalculus
- Deductive reasoning 2 | Sequences, series and induction | Precalculus
- Deductive reasoning 3 | Sequences, series and induction | Precalculus
- Finding probability example 3 | Probability and combinatorics | Precalculus
- Events and Outcomes 2
- Example: Probability through counting outcomes | Precalculus
- Independent or dependent probability event? | Precalculus
- Test taking probability and independent events | Precalculus
- Die rolling probability with independent events | Precalculus
- Example: Ways to arrange colors | Probability and combinatorics | Precalculus
- Example: Ways to pick officers | Probability and combinatorics | Precalculus
- Example: 9 card hands | Probability and combinatorics | Precalculus
- Example: Lottery probability | Probability and combinatorics | Precalculus
- Example: Different ways to pick officers | Precalculus
- Example: Combinatorics and probability | Probability and combinatorics | Precalculus
- Absolute value equations | Linear equations
- Systems of linear inequalities word problems example I
- U06_L1_T1_we1 Solving Systems by Graphing
- Finding the inequality representing the graph example
- U03_L2_T1_we2 Representing Functions as Graphs
- Inductive patterns | Sequences, series and induction | Precalculus
- Multiplying monomials
Course Description
Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.