Unit 2

Question 0

Any number to the exponent 0 is…

Answer 0

1

Question 1

What are the three forms of a parabola?

Answer 1

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

Question 2

What happens when the exponent is -1?

Answer 2

A negative reciprocal.

Question 3

What if you have a negative exponent with number?

Answer 3

Reciprocal and exponent goes to bottom number.

Question 4

How do you find axis of symmetry?

Answer 4

X value of vertex or

X=x1+x2 divided by 2

Question 5

How do you find the optimal value?

Answer 5

The y value of the vertex or

Sub the axis of symmetry into the equation for x

Question 6

What is the base for an exponential growth equation?

Answer 6

y=2^x+c +d

Question 7

What does c do in exponential growth?

Answer 7

Moves the line left or right (negative moves right)

Question 8

What does d do in exponential growth?

Answer 8

Asymptote (line it never hits)

Question 9

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

Answer 9

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

Both are opposite movements

Question 10

What is the quadratic formula?

Answer 10

T

Question 11

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

Answer 11

The discriminate

B squared -4ac

Question 12

What are the steps to a quadratic word problem?

Answer 12

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

Question 13

What are the steps to solving an optimizing area problem?

Answer 13

Diagram
Let statement
Equations
Substitution
Therefore

Question 14

What is the equation to optimize area?

Answer 14

P=2l+2w

Max Area=lw

Question 15

What is the equation to optimize profit?

Answer 15

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)

Question 16

How do you solve an optimizing profit word problem?

Answer 16

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

Question 17

How do you solve consecutive number problems?

Answer 17

Let x and y be the numbers
Create equations
Substitute
Therefore

Question 18

How do you solve border problems?

Answer 18

Create equations(3)
Substitute
Therefore statement

Question 19

How do you switch from standard to vertex form?

Answer 19

Complete the square

Question 20

Standard to factored?

Answer 20

Factor it

Question 21

Factored to standard?

Answer 21

Foil

Question 22

Factored to vertex?

Answer 22

Foil and Complete the square

Question 23

Vertex to standard?

Answer 23

Expand/Foil

Question 24

Vertex to factored?

Answer 24

Standard then factor

Question 25

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

Answer 25

``` Let it be (e,p) Sub in midpoint formula Find e by using the x intercepts Use y intercepts for p Therefore statement ```

Question 26

How to do know if a point is on a circle?

Answer 26

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