Download 6-6 Writing a Quadratic Equation given ordered pairs

4.10 Writing a Quadratic Equation given ordered pairs
1. Substitute each ordered pair into the general form equation.
y  ax 2  bx  c
Example (2, 1)
You will have one equation for each ordered pair.
2. Use elimination or substitution to solve the resulting system of equations for
a, b, and c.
3. Rewrite the equation into general form, substituting values for a, b, and c.
Each ordered pair should satisfy the equation.
Ex. 1 Write a quadratic equation passing through the points (0, -3), (1, 4), and
(2, 15)
Ex. 2 Write a quadratic equation passing through the points (-1, 10), (0, 6), and
(2, 88).
Writing quadratic functions and models from a given graph
1. Start with STANDARD or vertex form
y  a ( x  h) 2  k
2. Substitute values from vertex (h, k).
3. Pick one other point _________ from a good grid point on the graph and
substitute for x and y in the standard form equation.
4. Solve for _________.
5. Write a general solution without “a” and a particular solution with “a”.
Find the general and particular solutions for each graph below.
1.
y
x
















2.
y







x










