When Given the vertex and the y intercept of the parabola , use (y-k)=a(x-h)^2 where a=0
Find the X intercept of the parabola with vertex (1,1) and y intercept (0,3) write your answers in this form (x2,y2) , (x2,y,2)
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given (h, k ) = (1,1)
put the values
now put the values from other point (0,3)
2 = a
put the value of a in parabola equation
for x intercept y=0
-1 = 2 (x^2 +1 -2x)
-1/2 = (x^2 +1 -2x)
x^2 +1 -2x +1/2 = 0
x^2-2x+1.5 = 0
solve it by using quadratic formula
you will get values of x which are x = 1+0.707i and 1-0.707i
so the answer for x intercept are
(x2,y2) = (1+0.707i , 0)
(x2,y2) = (1- 0.707i , 0)
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