Saturday, April 18, 2015

Find the x-intercepts for the parabola: y = x^2 + 4x - 3

The x-intercepts for a function are the points where the
graph of the function meets the x-axis. Here the value of f(x) is
0.


For the given equation of the parabola: y = x^2 + 4x -
3, we find the x-intercepts by equating y = 0 and solving the resulting
equation.


y = x^2 + 4x - 3 =
0


x1 = [-b + sqrt (b^2 -
4ac)]/2a


=> x1 = [ -4 + sqrt ( 16 +
12)]/2


=> -2 + sqrt 28 /
2


=> -2 + sqrt
7


x2 = -2 - sqrt
7


The x-intercepts of the parabola are at the
points ( -2 + sqrt 7 , 0) and (
-2 - sqrt 7 ,
0)

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