SOLUTION: Find the y-intercept and the x-intercept for the slope: y=-2x^2+4x+2

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Question 419649: Find the y-intercept and the x-intercept for the slope: y=-2x^2+4x+2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

y = -2x^2+4x+2    |Note use of ^ for squared term

 y-intercept (when x = 0)  Pt(0,2)



y= -2(x-1)^2 + 4    |completing the square  Vertex Pt(1,4)

 x-intercept (when y = 0)

 -2(x-1)^2 + 4 =0

   (x-1)^2 = 2

   x = 1 ± sqrt(2)  Pt(2.414,0) and Pt(-.414,0) the x-intercepts