Question

The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry

Answer 1

Answer:

x = 2

Step-by-step explanation:

Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.

x² - 4x + 6

= (x - 2)² - 4 + 6

= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.