Verified answer

y=-2x²+5x-3

0=-2x²+5x-3

0 = -(x-1)(2x-3)

x = 1, x = 3/2

X-intercepts:

(1, 0) & (3/2, 0)

y=-2(0)²+5(0)-3

y = -3

y-intercept

(0, -3)