-
y=a(x-h)2+k
find the vertex
(h,k)
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x2+4x-6
Complete the Square
- x2+4x -6
- x2+4x+4 -6-4
- (x+2)2-10
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2x2-12x+3
Complete the Square
- 2(x2-6x )+3
- 2(x2-6x+9)+3-18
- 2(x+3)2-15
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y=a(x-h)2+k
What unit multiplies the y-values?
The a-unit
-
y=a(x-h)2+k
What unit translates the graph horizontally?
The h-unit
-
y=a(x-h)2+k
What unit translates the graph vertically?
The k-unit
-
f(x)=ax2+bx+c
What's the vertex?
(-b/2a , plug in the x)
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r= 100x-0.0002x2
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
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Write Equation with the given 0's
0,6
y=x(x-6)
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Write Equation with the given 0's
4, -5
-
Write Equation with the given 0's
2+/5, 2-/5
*hint* think (a2-b2)
- (x-2-/5)(x-2+/5) --------> (x-2)2-5
- x2-4x+4-5
- f(x)=x2-4x-1
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