Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function.

Question

yequals3 x squared minus 2 x plus 4
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Part 1
The axis of symmetry is xequals
  
enter your response here. ​(Simplify your​ answer.)

Answer 1

The axis of symmetry of the function y = 3x^2 - 2x + 4 is x = -(-2)/(2*3) = 1/3 (or x = 0.3333).

Answer 2

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function.
yequals3 x squared minus 2 x plus 4
Question content area bottom
Part 1
The axis of symmetry is xequals
  
one third
. ​(Simplify your​ answer.)
Part 2
The vertex is
  
enter your response here.
​(Type an ordered pair. Simplify your​ answer.)

Answer 3

Part 2: The vertex of the function y = 3x^2 - 2x + 4 is (1/3, 3(1/3)^2 - 2(1/3) + 4) = (1/3,11/3) or approximately (0.333, 3.667).