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How many y-intercepts does the graph of the parabola x = 2y^2 - 3y + 7 have?

 May 29, 2020
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Asking how many y-intercepts does the graph of the parabola  x  =  2y2 - 3y + 7 have

is equivalent to

asking how many x-intercepts does the graph of the parabola  y  =  2x2 - 3x + 7 have.

 

Using the discriminant:  b2 - 4ac  =  (-3)2 - 4(2)(7)  =  9 - 56  =  -47

 

Since the discriminant is negative, there are no intercepts.

 May 29, 2020

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