F (x) = 5x² - 12x + 5

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вопрос

To find the vertex of the function f(x) = 5x² - 12x + 5, we can use the formula for the x-coordinate of the vertex of a quadratic function:

x = -b/2a

In this case, the function is in the form f(x) = ax² + bx + c, so a = 5, b = -12, and c = 5. Plugging these values into the formula, we have:

x = -(-12) / 2(5)
x = 12 / 10
x = 1.2

Now that we have found the x-coordinate of the vertex, we can plug this value back into the original function to find the y-coordinate:

f(1.2) = 5(1.2)² - 12(1.2) + 5
f(1.2) = 5(1.44) - 14.4 + 5
f(1.2) = 7.2 - 14.4 + 5
f(1.2) = -2.2

Therefore, the vertex of the function f(x) = 5x² - 12x + 5 is (1.2, -2.2).