2. Standard Form
f(x)=ax²+bx+c
The variable a determines whether the
parabola opens up/down and if its wide/
narrow.
The vertex is (-b/2a , f(-b/2a)).
The y-intercept is equal to c.
3. Graphing Standard Form
Find the x-coordinate of the vertex using the formula -b/2a.
Then plug that in for x to get the y-intercept of the vertex.
Draw a vertical line going through the vertex.
Find the coordinates of a point to the left and right of the
vertex. Then connect them.
4. Vertex Form
f(x)=a(x-h)²+k
The variable a determines whether the
parabola opens up/down and if its wide/
narrow.
The vertex is (h,k).
5. Graphing Vertex Form
Determine the vertex.
Plot the vertex and draw the axis of
symmetry which is the line x=h.
Find the coordinates of a point
to the left and right of the
vertex. Then connect them.
6. Intercept Form
f(x)=a(x-p)(x-q)
The x-intercepts of the parabola are (p,0)
and (q,0).
The y-intercept is equal to apq.
7. Graphing Intercept Form
Plot the x-intercepts.
Find the vertex by calculating the
midpoint bet ween the x-intercepts, and
plug that in for x to get the y-coordinate
of the vertex.
Plot and connect the vertex to the
intercepts.
