Answer:
ymin = 3.875
Step-by-step explanation:
We can calculate the ymin of the given parabola with next formula
ymin = (4ac - b²)/ 4a
We have standard formula for quadratic equation (function)
f(x) = ax² + bx + c
The given formula is f(x) = 2x² -3x + 5
In this case a=2 , b= -3 and c=5
ymin = ( 4 · 2 · 5 - (-3)²) / 4 · 2 = (40 - 9) / 8 = 31 / 8 = 3.875
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