Section 3.6: Quadratic Function
General Form: y ax 2 bx c
S tandard Form: y a(x h)2 k
Vertex (h,k) (maximum)
a<0Vertex (h,k)(minimum)
a>0
**
Given: y 3x 2 24x 50a) State the minimum/maximum.
b) State the axis of symmetry (AoS).
c) Find the zeros.
d) Sketch it.
Given the equation…Find the supporting parts:
a) State the minimum/maximum.
b) State the axis of symmetry (AoS).
c) Find the zeros.
d) Sketch it.
Given: y x 2 2x 8
Given the supporting parts…Find the equation:
Ex: Find an equation of a parabola with V(2, 3) and passing through point (5, 1).
V(2, 3)
(5, 1)
Sketch It…It will help you see what’s going on!
Ex: Flights of leaping animals typically have parabolic paths. The figure below illustrates a frog jump superimposed on a coordinate plane. Find the standard equation for the path of the frog.
???
