Presentation is loading. Please wait.

Presentation is loading. Please wait.

Finding a Quadratic Equation from Three Coordinates.

Published byGilbert Page Modified over 9 years ago

Similar presentations

Presentation on theme: "Finding a Quadratic Equation from Three Coordinates."— Presentation transcript:

1 Finding a Quadratic Equation from Three Coordinates

2 Suppose the graph of a quadratic function passes through the points (1,0), (2,5), and (3,12). Algebraically find the quadratic equation. 2. Substitute each Point into the Equation: 1. Use the Standard Quadratic Form: 3. Simplify the Equations: y x

3 Finding a Quadratic Equation from Three Coordinates Solve the system: 5. Solve the new system 6. Solve for the 3 rd Variable 7. Subsititue into the Standard Form: + 4. Use Elimination to write a 2-Variable System Eliminate the “c” first! ++ 1 2 3 1 2 1 3

Download ppt "Finding a Quadratic Equation from Three Coordinates."

Similar presentations

Solve a System Algebraically

Solve a System Algebraically
Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation.

Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation.
Solving Systems of three equations with three variables Using substitution or elimination.

Solving Systems of three equations with three variables Using substitution or elimination.
EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.
EXAMPLE 3 Write an equation for a function

EXAMPLE 3 Write an equation for a function
Quadratics – Equations and Functions A Quadratic Equation is an equation that can be written in the form Example 1: The following is an example of a quadratic.

Quadratics – Equations and Functions A Quadratic Equation is an equation that can be written in the form Example 1: The following is an example of a quadratic.
Using a 3 Variable System to find a Quadratic Equation.

Using a 3 Variable System to find a Quadratic Equation.
Algebra II March 2 nd Students should complete warm-up problems. Given a graph of a system of equations students will be able to determine how many solutions.

Algebra II March 2 nd Students should complete warm-up problems. Given a graph of a system of equations students will be able to determine how many solutions.
Write a quadratic function in vertex form

Write a quadratic function in vertex form
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.
7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.

7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.
Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x.

Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x.
Algebra 1 Notes Lesson 7-2 Substitution. Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using.

Algebra 1 Notes Lesson 7-2 Substitution. Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using.
3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =
EXAMPLE 1 Write a quadratic function in vertex form Write a quadratic function for the parabola shown. SOLUTION Use vertex form because the vertex is given.

EXAMPLE 1 Write a quadratic function in vertex form Write a quadratic function for the parabola shown. SOLUTION Use vertex form because the vertex is given.
Another method for solving systems of equations is elimination

Another method for solving systems of equations is elimination
SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.

SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.
Algebra 1 Ch.10 Notes Page 81 P81 10-4 Factoring to Solve Quadratic Equations.

Algebra 1 Ch.10 Notes Page 81 P Factoring to Solve Quadratic Equations.
FINDING THE EQUATION OF A QUADRATIC FUNCTION Foldable.

FINDING THE EQUATION OF A QUADRATIC FUNCTION Foldable.
To add fractions, you need a common denominator. Remember!

To add fractions, you need a common denominator. Remember!

Similar presentations

Ads by Google