3 years ago

Use the discriminant to determine how many x-intercepts the graph of the equation has. y=-4x2^+4x-1

1 answer:

4 0

Y=-4x²+4x-1 this quadratic equation is of the form ax² + bx + c
and its discriminante is ( Δ = b²- 4ac)
:
So Δ = b² 4ac ==> (4)² - 4(-4)(-1)==> (16) -16 = 0

When Δ = 0, the parabola intercept x=axis in one & only one point
And the x-intercept = -b/2a = (-4)/[2.(-4)] ==> x = 1/2

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