Equation of Quadratic Function Given The Table of Values

• Finding the equation of a quadratic function given a table of values

  1. Select 3 ordered pairs from the table

  2. Substitute each ordered pair into the general form of the quadratic function y = ax^2 + bx + c

  3. Solve for the values of a, b, and c in the system of linear equations

  4. Substitute the values of a, b, and c into the general form to get the final equation
• n

  Negative three
• a minus b

  Negative one
• Union minus negative five a minus b

  Negative three
• Eliminate nothing in b

  1. Max is a subtract not n

  2. Negative three a minus negative five a

  3. Negative three plus five

  4. Negative three plus five that is positive two a

  5. Negative b plus beta i'm getting zero
• Negative one minus negative three


  Negative one plus three n that is equal to positive two
• Multiply the national variable a by dividing both sides by positive two


  a is equal to one
• Negative 3 times 1 minus b


  Negative 3 times 1 the answer is negative 3 minus b is equal to negative 1
• Transpose negative 3 to other side


  1. Negative b is equal to negative one plus three or uh using the ap e or we can add uh both sides by positive three

  2. Negative b is equal to negative one plus three and that is positive two
• Divide both sides by negative one


  c jan so balik ty don't say equation one two and three not n
• All in mandito pretty nothing can be ten
• Substitute a and b in equation number one


  1. a is equal to one and b is equal to negative two

  2. a plus b plus c is equal to zero

  3. One plus negative two plus c is equal to zero

  4. Negative one plus c is equal to zero

  5. c is equal to positive one
• General formula quadratic function

  y is equal to ax squared plus bx plus c
• y is equal to x squared minus two x plus one
• Equation and table of values netlo is y is equal to x squared minus two x plus one
• Substitute ordered pairs negative 324 negative 2 16 negative 1 10 0 6 1 4 2 4 and 3 6


  1. Substitute x is negative one and y is ten

  2. Substitute x is one and y is four

  3. Substitute x is two and y is four
• Eliminate variables a and c

  2a plus 2b plus 2c is equal to 24
• Multiply equation 4 by 3

  6a plus 6c is equal to 42
• Subtract equation 4 from equation 5

  1. 3c is equal to 18

  2. c is equal to 6
• Substitute c in equation 4

  1. 2a plus 12 is equal to 14

  2. 2a is equal to 2

  3. a is equal to 1
• Substitute a and c

  1. Negative b is equal to 3

  2. b is equal to negative 3
• y is equal to x squared minus three x plus six
• General form of quadratic equation


  y is equal to a x squared plus b x plus c