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