Unit 2 Flashcards

(27 cards)

0
Q

Any number to the exponent 0 is…

A

1

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1
Q

What are the three forms of a parabola?

A

Vertex: y=a(x-h)^2+k
Factored: y=a(x-r)(x-s)
Standard: y=ax^2+bx+c

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2
Q

What happens when the exponent is -1?

A

A negative reciprocal.

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3
Q

What if you have a negative exponent with number?

A

Reciprocal and exponent goes to bottom number.

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4
Q

How do you find axis of symmetry?

A

X value of vertex or

X=x1+x2 divided by 2

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5
Q

How do you find the optimal value?

A

The y value of the vertex or

Sub the axis of symmetry into the equation for x

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6
Q

What is the base for an exponential growth equation?

A

y=2^x+c +d

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7
Q

What does c do in exponential growth?

A

Moves the line left or right (negative moves right)

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8
Q

What does d do in exponential growth?

A

Asymptote (line it never hits)

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9
Q

What is the equation of a circle with centre not 0,0?

A

(x-h)^2+(y-k)^2=r^2

Both are opposite movements

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10
Q

What is the quadratic formula?

A

T

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11
Q

How do you figure out how many zeros a parabola has?

A

The discriminate

B squared -4ac

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12
Q

What are the steps to a quadratic word problem?

A
Diagram
Let statements
Equations
Use substitution or elimination to solve
Therefore statement
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13
Q

What are the steps to solving an optimizing area problem?

A
Diagram
Let statement
Equations
Substitution
Therefore
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14
Q

What is the equation to optimize area?

A

P=2l+2w

Max Area=lw

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15
Q

What is the equation to optimize profit?

A

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)

16
Q

How do you solve an optimizing profit word problem?

A

Complete the square or
Find the zeros(split equation), axis of symmetry,
Find the price (sub x into second equation)

17
Q

How do you solve consecutive number problems?

A

Let x and y be the numbers
Create equations
Substitute
Therefore

18
Q

How do you solve border problems?

A

Create equations(3)
Substitute
Therefore statement

19
Q

How do you switch from standard to vertex form?

A

Complete the square

20
Q

Standard to factored?

21
Q

Factored to standard?

22
Q

Factored to vertex?

A

Foil and Complete the square

23
Q

Vertex to standard?

24
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 ```
26
How to do know if a point is on a circle?
Sub the point into x and y if the point is bigger it is outside the line. Smaller its inside If they are equal it is on the circle