In the graph, you can just pick the coordinates.
Then, can make the equation like: y = x² - 5x + 6
Then, we can make the factors like:
y = x²-3x-2x+6
y = x(x - 3) -2(x -3)
y = (x-2)(x-3)
y = 2, 3
Then, we can convert it into standard and vertex form by applying appropriate steps, here for this particular example:
y - 6 = x² - 5x
y - 6 = x(x - 5)
[ Post your own particular question for better understanding ]
Hope this helps!
