Flashcards in Unit 2 Deck (27)
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What are the three forms of a parabola?
Vertex: y=a(x-h)^2+k
Factored: y=a(x-r)(x-s)
Standard: y=ax^2+bx+c
1
Any number to the exponent 0 is...
1
2
What happens when the exponent is -1?
A negative reciprocal.
3
What if you have a negative exponent with number?
Reciprocal and exponent goes to bottom number.
4
How do you find axis of symmetry?
X value of vertex or
X=x1+x2 divided by 2
5
How do you find the optimal value?
The y value of the vertex or
Sub the axis of symmetry into the equation for x
6
What is the base for an exponential growth equation?
y=2^x+c +d
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What does c do in exponential growth?
Moves the line left or right (negative moves right)
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What does d do in exponential growth?
Asymptote (line it never hits)
9
What is the equation of a circle with centre not 0,0?
(x-h)^2+(y-k)^2=r^2
(Both are opposite movements)
10
What is the quadratic formula?
T
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How do you figure out how many zeros a parabola has?
The discriminate
B squared -4ac
12
What are the steps to a quadratic word problem?
Diagram
Let statements
Equations
Use substitution or elimination to solve
Therefore statement
13
What are the steps to solving an optimizing area problem?
Diagram
Let statement
Equations
Substitution
Therefore
14
What is the equation to optimize area?
P=2l+2w
Max Area=lw
15
What is the equation to optimize profit?
Let x be the number of price increases
Revenue= tickets x price of ticket
Max revenue=number of riders-cost per ride
= (320000-4000x)(2.50+0.10x)
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How do you solve an optimizing profit word problem?
Complete the square or
Find the zeros(split equation), axis of symmetry,
Find the price (sub x into second equation)
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How do you solve consecutive number problems?
Let x and y be the numbers
Create equations
Substitute
Therefore
18
How do you solve border problems?
Create equations(3)
Substitute
Therefore statement
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How do you switch from standard to vertex form?
Complete the square
20
Standard to factored?
Factor it
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Factored to standard?
Foil
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Factored to vertex?
Foil and Complete the square
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Vertex to standard?
Expand/Foil
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Vertex to factored?
Standard then factor
25
How do you find an endpoint when you have midpoint and endpoint?
Let it be (e,p)
Sub in midpoint formula
Find e by using the x intercepts
Use y intercepts for p
Therefore statement
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