The equations of three quadratic functions are given below:
(i) y = 2x2 + 12x + 18
(ii) y = −3x2 − 5x + 3
(iii) y = x2 + 2x − 5
Determine the discriminant of each function and the number of x-intercepts that the parabola has. Choose
the correct sentence. The function described in
[1] (i) has no discriminant and the parabola has no x-intercepts
[2] (ii) has a negative discriminant and the parabola has two x-intercepts
[3] (i) has a zero discriminant and the parabola has one x-intercept
[4] (iii) has a positive discriminant and the parabola has one x-intercept
The discriminant formula of a quadratic function y = ax2 + bx + c is D = b2 - 4ac.
The correct sentence is [3] (i) has a zero discriminant and the parabola has one x-intercept.
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