from (-1,0), we conclude that
a(-1)^2 + b(-1) + c = 0......(1)
Similarly, from (0,2), we have
a(0)^2 + b(0) + c = 2........(2)
and from (2,0), we get
a(2)^2 + b(2) + c = 0........(3)
By solving the system of linear equations (1),(2) and (3), you will find the values of a,b and c.
After substituting the numerical values of a,b and c into f(x), you can factorize as required in question (c).
Note: the system of linear equations is easy to solve because if you examine equation (2), it reduces to c=2.
By substituting the value of c in (1) and (3), you only have to solve a system of 2 equations with two unknowns (a and b).
A quadratic function in the form f(x)=ax^2+bx+c contains the points (-1,0), (0,2), and (2,0)."
y = (x+1)(x-2)(k)
2 = (1)(-2)(k)
2 = -2k
k = -1
y = (x+1)(x-2)(-1) (factored already)
y = -x^2 + x + 2
Answer this Question
Math - The following three points are produced by some quadratic function of the...
calculus - Suppose the function G(t) represents a test grade (out of 100 points...
College Math - For questions 1-2, apply the quadratic formula to find the roots...
Math - Okay I have a scatterplot, so I have points on the graph. I need to use ...
math - determine the quadratic function whose graph contains the points(-2,-1...
math 11 - 4. a)how many different x-interceps could the graph of a quadratic ...
math - How do you find an equation of a quadratic function from two points. The ...
logarithms - Ive been staring at this problem for like a half hour now and I ...
chemistry - I have been staring at this one for awhile now... I would so ...
Math - 1. Write a quadratic function in intercept form whose graph has the given...