Flashcards in Unit 2 Deck (27)

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## What are the three forms of a parabola?

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Vertex: y=a(x-h)^2+k

Factored: y=a(x-r)(x-s)

Standard: y=ax^2+bx+c

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## 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?

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X value of vertex or

X=x1+x2 divided by 2

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## How do you find the optimal value?

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The y value of the vertex or

Sub the axis of symmetry into the equation for x

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## 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?

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

(Both are opposite movements)

10

## What is the quadratic formula?

### T

11

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

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The discriminate

B squared -4ac

12

## What are the steps to a quadratic word problem?

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Diagram

Let statements

Equations

Use substitution or elimination to solve

Therefore statement

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## What are the steps to solving an optimizing area problem?

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Diagram

Let statement

Equations

Substitution

Therefore

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## What is the equation to optimize area?

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P=2l+2w

Max Area=lw

15

## What is the equation to optimize profit?

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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?

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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?

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Let x and y be the numbers

Create equations

Substitute

Therefore

18

## How do you solve border problems?

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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

21

## Factored to standard?

### Foil

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## Factored to vertex?

### Foil and Complete the square

23

## Vertex to standard?

### Expand/Foil

24

## Vertex to factored?

### Standard then factor

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## How do you find an endpoint when you have midpoint and endpoint?

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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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