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How many y-intercepts does the graph of the parabola x = -y^2 + 4y - 4 have?

 Oct 10, 2019

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 #1
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At the y-intercepts , x =0   so set the equation = 0 and solve for y

 

0 = -y^2+4y-4      use Quadratic Formula to find 'y' = 2    (only one root at y=2)  so only ONE y=intercept

 

 

Alternatively , the discriminant    b2-4ac = 0  

                                                   42-4(-1)(-4)= 0      so only ONE root (One y intercept)     

 Oct 10, 2019
edited by ElectricPavlov  Oct 10, 2019
 #1
avatar+26006 
0
Best Answer

At the y-intercepts , x =0   so set the equation = 0 and solve for y

 

0 = -y^2+4y-4      use Quadratic Formula to find 'y' = 2    (only one root at y=2)  so only ONE y=intercept

 

 

Alternatively , the discriminant    b2-4ac = 0  

                                                   42-4(-1)(-4)= 0      so only ONE root (One y intercept)     

ElectricPavlov Oct 10, 2019
edited by ElectricPavlov  Oct 10, 2019

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