melania gomez (agenda)

Write in the vertex from and name the Vertex
x^2-6x+2 x^2-8x+5

Agenda
I BELL RINGER
II HOMEWORK REVIEW
III GRAPH QUADRATIC FUNCTION

OBJECTIVE- Student will graph quadratic function and plot
( The vertex, zeros, y-intercept and axis of symmetry)
Big picture- Quadratic functions Model objects in motion.

#9
x^2-2x-7
(x^2-2x+1) -7-1
(x-1) (x-1)-6 since -2 is equal by -1, it would be x-1 twice because it would equal -2x
(x-1)^2-6 then you bring down the -7 and add the opposite of +1 to -1.
(1,-8)

4x^2-8x+2
4(x^2-2x+1)+2-1 the 4 is not really useful because we would want the to leave it out, to
4(x-1) (x-1)+1 make it "skinny", yet always bring it down, with the rest of the problem
4(x-1)(x-1)+1 shown on your left.
4(x-1)^2+1
(1,1)

#13
y=1/2x^2+4x+8
1/2(x^2+8x+16)+8-16 The 8 is equal from 4 twice, which it would be x+4 twice. Also since
1/2(x+4) (x+4)-8 4x4=16 we would put +16 then finish the (), which bring down 8 and
1/2(x-4)^2-8 add opposite of 16 to -16, to finish the second part. then the 1/2 just
(-4,-8) bring down and would not be touched in this problem because
we would want it "skinny"
The homework for today is pg. 41 (15-20)
find the
1 y-intercept
2 zeros
3 vertex

a b c
1. f(x)=x^2-6x+8
6/36-4*8
6+2 or 6-2 which also 4 or 2 y-intercept (0,8)
2 2

2. (x^2-6x+9)+8-9
(x-3) (x-3)-1
(x-3)^2-1
(4,0) (2,0)