PreCal/Trig 2.1, 2.2, 2.6, 3.1
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y=a(xh)^{2}+k
find the vertex
(h,k)

x^{2}+4x6
Complete the Square
 x^{2}+4x 6
 x^{2}+4x+4 64
 (x+2)^{2}10

2x^{2}12x+3
Complete the Square
 2(x^{2}6x )+3
 2(x^{2}6x+9)+318
 2(x+3)^{2}15

y=a(xh)^{2}+k
What unit multiplies the yvalues?
The aunit

y=a(xh)^{2}+k
What unit translates the graph horizontally?
The hunit

y=a(xh)^{2}+k
What unit translates the graph vertically?
The kunit

f(x)=ax^{2}+bx+c
What's the vertex?
(b/2a , plug in the x)

r= 100x0.0002x^{2}
Find the maximum units^{ }
 100/2(0.0002)
 250,000 units

What does maximum or minimum mean?
Find the vertex

Positive leading coefficiant
Even Degree

Positive leading coefficient
Odd Degree

Negative leading coefficient
Even Degree

Negative leading coefficient
Odd Degree

Write Equation with the given 0's
0,6
y=x(x6)

Write Equation with the given 0's
4, 5

Write Equation with the given 0's
2+/5, 2/5
*hint* think (a^{2}b^{2})
 (x2/5)(x2+/5) > (x2)^{2}5
 x^{2}4x+45
 f(x)=x^{2}4x1