SOLUTION: hi I would like to know how to find the quadratic polynomial whose graph goes through the points (−1,2),(−1,2), (0,2),(0,2), and (2,14)
thank you
Algebra.Com
Question 1049820: hi I would like to know how to find the quadratic polynomial whose graph goes through the points (−1,2),(−1,2), (0,2),(0,2), and (2,14)
thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the quadratic polynomial whose graph goes through the points (−1,2),(0,2), and (2,14)
---
Form::
ax^2 + bx + c = y
Using (-1,2) you get:: a - b + c = 2
Using (0,2) you get:: 0 - 0 + c = 2
Using (2,14) you get:: 4a + 2b + c = 14
--------------------------------------------
Notice that c = 2, you can write two equations in a and b::
a - b = 0
4a+2b = 12
---------------------
a - b = 0
2a + b = 6
------------
Add and solve for "a"::
3a = 6
a = 2
-----
Solve for "b":
a - b = 0
2 - b = 0
b = 2
------
Equation:
y = 2x^2 + 2x + 2
----------------------
Cheers,
Stan H.
--------------------
RELATED QUESTIONS
How do you find the polynomial whose graph goes through these points?
(2,10),... (answered by greenestamps,Fombitz)
Use complete sentences to explain how you would use graphing technology to find the... (answered by solver91311)
hi i'm in college and i'm so confuse in algebra class.
*Solve the quadratic equation... (answered by Algebraic)
Use the quadratic formula to solve the quadratic equation x^2 − 8x − 4 = 0.
(answered by tommyt3rd)
Which rectangular equation corresponds to these parametric equations?
x = 0.2sec t and y (answered by stanbon)
I would like to know how to graph the equation... (answered by drk)
how to solve: Write a quadratic function in standard form whose graph passes through the... (answered by richard1234)
Find a polynomial function f with real coefficients that satisfies the given conditions.
(answered by CubeyThePenguin)
I would like help to find 5 points on the graph that can also be solutions to this... (answered by rwm)