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

Guest Oct 10, 2019

#1**+2 **

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 b^{2}-4ac = 0

4^{2}-4(-1)(-4)= 0 so only ONE root (One y intercept)

ElectricPavlov Oct 10, 2019

#1**+2 **

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 b^{2}-4ac = 0

4^{2}-4(-1)(-4)= 0 so only ONE root (One y intercept)

ElectricPavlov Oct 10, 2019