Answer:
(1.5,2.5)
Step-by-step explanation:
f(x) = 2x^2 - 6x + 7
Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)
f'(x) = 4x -6
0 = 4x - 6
4x = 6
x = 3/2 or 1.5
If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7
y = 2(9/4) - 18/2 + 7
y = (9/2) - 2
y = 2.5
See attached graph.
