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Answer:
coordinates (x, y) = (3, 20)
Step-by-step explanation:
y = -5x² + 30x - 25
quadratic equation is:
y = ax² + bx + c
where:
x = -b / 2a
from the given quadratic equation:
a = -5, b = 30, c = -25
i.e.
x = -30 / 2(-5) = -30/-10 = 3
by substituting the value of x in equation:
y = -5(3)² + 30(3) - 25
= -45 + 90 - 25 = -70 + 90
y = 20
thus,
coordinates (x, y) = (3, 20)