Step by step instructions for how to graph a parabola in Sta

Step by step instructions for how to graph a parabola in:

Standard form ax^2+bx+c

vertex form (x+h)^2

y-intercept form (x+p)(x+q)

with an example for each.

Please be specific in details as this is all new for me.

Thanks in advance

Solution

Determine which form of quadratic equation you have. The quadratic equation can be written in three different forms: the standard form, vertex form, and the quadratic form

Standard form. In this form, the quadratic equation is written as: f(x) = ax² + bx + c where a, b, and c are real numbers and a is not equal to zero.

Vertex form. In this form, the quadratic equation is written as: f(x) = a(x - h)² + k where a, h, and k are real numbers and a does not equal zero. Vertex form is so named because h and k directly give you the vertex (central point) of your parabola at the point (h,k).

Calculate h. In vertex form equations, your value for h is already given, but in standard form equations, it must be calculated. Remember that, for standard form equations, h = -b/2a.

Calculate k. As with h, k is already known in vertex form equations. For standard form equations, remember that k = f(h). In other words, you can find k by replacing every instance of x in your equation with the value you just found for h.