SOLUTION: Find an equation of the quadratic function in standard form whose graph contains the points (0,5), (1,10), and (2, 19). Can someone work this out please i'm having a little trouble
Algebra.Com
Question 810630: Find an equation of the quadratic function in standard form whose graph contains the points (0,5), (1,10), and (2, 19). Can someone work this out please i'm having a little trouble. THANK YOU!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an equation of the quadratic function in standard form whose graph contains the points (0,5), (1,10), and (2, 19).
----
Form:: ax^2 + bx + c = y
Solve for a,b,c
--------------------
(0,5) gives:: 0a + 0b + c = 5
(1,10)gives:: a + b + c = 10
(2,19)gives:: 4a + 2b + c = 19
------------------------
I used my TI-84 to get::
a = 2
b = 3
c = 5
==========
Equation::
y = 2x^2 + 3x + 5
====================
Cheers,
Stan H.
====================
RELATED QUESTIONS
Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)
write an equation in standard form of the quadratic function that has a vertex (3,4) and... (answered by solver91311)
1. Re–write this quadratic equation from vertex form into standard form:
y = (x – 4)^2 (answered by ikleyn)
1. Find an equation for a quadratic function whose only x-intercept is (5,0).
2.... (answered by reviewermath)
A quadratic function has zeros −3 and 5 and contains the point (4, 14). Find the... (answered by ewatrrr,ikleyn)
Find an exponential function of the form f(x) = C · a^x + D with horizontal asymptote y... (answered by greenestamps)
What is an equation for the linear function whose graph contains the points (-1,-2) and... (answered by josgarithmetic)
find an equation of the line that passes through the two given points. if possible, write (answered by Fombitz)
The equation of the axis of symmetry of the graph of a quadratic function is x=-6. In... (answered by josgarithmetic)