Determine the vertex of the function f (x) = 3x2 - 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.

Question

Mathematics

Katrina Liu

22 January, 10:41

Determine the vertex of the function f (x) = 3x2 - 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.

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Gavin · Answer 1

F (x) = 3x²-6x+13

a=3, b=-6, c=13

the x coordinate of the vertex is x=-b / (2a), so x = - (-6) / (2*3) = 1

when x=1, y=3 (1) ²-6 (1) + 13=10

the vertex is at (1,10)

answers are in bold.