section 3.6: quadratic function vertex (h,k) (maximum) a0 **

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Section 3.6: Quadratic Function General Form : y ax 2 bx c S tan dard Form : y a ( x h ) 2 k Vertex (h,k) (maximum) a<0 Vertex (h,k) (minimum) a>0 * *

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a) State the minimum/maximum. b) State the axis of symmetry (AoS). c) Find the zeros. d) Sketch it.

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Page 1: Section 3.6: Quadratic Function Vertex (h,k) (maximum) a0 **

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

**

Page 2: Section 3.6: Quadratic Function Vertex (h,k) (maximum) a0 **

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:

Page 3: Section 3.6: Quadratic Function Vertex (h,k) (maximum) a0 **

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

Page 4: Section 3.6: Quadratic Function Vertex (h,k) (maximum) a0 **

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!

http://images.google.com/imgres?imgurl=http://www.clipartguide.com/_small/0060-0604-2414-1418.jpg&imgrefurl=http://www.clipartguide.com/_pages/0060-0604-2414-1418.html&h=215&w=300&sz=26&hl=en&start=4&um=1&tbnid=TVOLPBWftiRk1M:&tbnh=83&tbnw=116&prev=/images%3Fq%3Dmath%2Bteacher%26gbv%3D2%26ndsp%3D18%26svnum%3D10%26um%3D1%26hl%3Den%26sa%3DN

Page 5: Section 3.6: Quadratic Function Vertex (h,k) (maximum) a0 **

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.

???

Page 6: Section 3.6: Quadratic Function Vertex (h,k) (maximum) a0 **

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