If the coefficient of x^2 is positive then it is concave up - negative then concave down.
Find the y intercept by substituting in x=0
Find the roots if there are any
Find the axis of symmetry, half way between the roots or x= -b/2a
Find the y value of the turning point by substituting the axis of symmentry x value in to find y
Usually that is enough.
If you need another point then use the one that is symmetrical with the y intercept.
I can only think of 1 circumstance where this will not be enough.
That is when the y axis is the axis of symmentry and there are no roots.
Then just find a point at random. And find the one that is symmetrical to it.
THAT IS IT!
If the coefficient of x^2 is positive then it is concave up - negative then concave down.
Find the y intercept by substituting in x=0
Find the roots if there are any
Find the axis of symmetry, half way between the roots or x= -b/2a
Find the y value of the turning point by substituting the axis of symmentry x value in to find y
Usually that is enough.
If you need another point then use the one that is symmetrical with the y intercept.
I can only think of 1 circumstance where this will not be enough.
That is when the y axis is the axis of symmentry and there are no roots.
Then just find a point at random. And find the one that is symmetrical to it.
THAT IS IT!