i have questions about parts of the parabola standard form. I know that it is ax^2+bx+c but what does b and c represent.

Guest Feb 17, 2018

#1**+1 **

a = the width of the parabola

If l a l < 1...the graph is wider than the graph y = x^2, if l a l > 1....the graph is narrower than the graph y = x^2 and if a < 0....we have an "upside" down parabola

c = the y intercept

b...when this isn't 0, it shifts the vertex of the graph off of the y axis....either left or right

Look at these graphs to get a feel for this :

https://www.desmos.com/calculator/shyvwfty0k

CPhill
Feb 17, 2018