unit 2) topic- quadratics

Question 1

whats standard form

Answer 1

y=ax²+bx+c

Question 2

whats the vertex

Answer 2

its the highest / lowest point in the middle of the parabola

Question 3

what is always the axis of symmetry always

Answer 3

its always the x value of vertex

Question 4

when a is neg what way does parabola open when a is pos what way does it open

Answer 4

a is neg it opens down
a is pos it opens up

Question 5

whats vertex form

Answer 5

y=a(x-h)²+k

Question 6

what does h value in vertex form for mean

Answer 6

x-coordinate on the vertex

Question 7

what does the k value for vertex form mean

Answer 7

y-coordinate on the vertex

Question 8

how do you write quadratic equation in vertex form

Answer 8

1- find 2 points 1 being the vertex
2- put into equation then add inside the bracket then square it
3- solve algebreicly then rewrite equation with a value included

Question 9

what do you do when trying to swap factored form/vertex to standard form

Answer 9

1- foil bracket
2- distribuite coeff to bracket
3- add like terms

Question 10

when a question asks to write a quadratic equation in other words whats it asking

Answer 10

its asking to solve for a then rewrite formula incuding a

Question 11

how to find x-int on calculator

Answer 11

2nd trace zero then do the left side right side enter

Question 12

how to find vertex on calculator

Answer 12

2nd trace enter max or minimum moe left right then enter

Question 13

how to find y-int on calculator

Answer 13

2nd trace value press 0 then enter

Question 14

whats another way to find the other value of the vertex without calculator

Answer 14

you can just sub the other value into the formula then solve algebraically

Question 15

what does a question want you to find when it says “zeros” “root solutions”

Answer 15

it means x-int so factored form

Question 16

what does the equation for factored form look like

Answer 16

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

Question 17

what do the r and the s stand for in the equation

Answer 17

they stand for 2 x-int

Question 18

when given 2 points and trying to find vertex/ axis of symmetry wat do you do

Answer 18

you add x values and divide by 2 ( you can only do this when both y values are the same)

Question 19

how would you solve changing standard to factored form

Answer 19

1- look for gcf
2-factor by looking fro product / sum ect.
3- then make sure to swap signs on the values
(if theres a varible where the x place is make sure to solve algebraicallly)

• remember when theres a coeff and factoring thats what you would divide product sum by if cannot be taken out by gcf

Question 20

how would you write quadratic equation in factored form when it gives x-int and a point /solving “zeros”

Answer 20

you would do the same you would as if it were a vertex
1- put values into equation
2- add inside brackets / then times 2 terms
3- then solve for a and rewrite a so the value is in equation

Question 21

how do you find revenue

Answer 21

• R=(price) (#sold)
• (inital price, end price) (inital sold, end sold)
• then graph equation finding vertex
• then using n value which is x on vertex sub into either price () or sold () depending on whats asking

Question 22

how do you determine quadratic functions

Answer 22

you 1st have to solve for the a value then rewrite in equation switch to standard if it tells you so

Question 23

when theres a neg in ()^2 for standard form would be neg or pos

Answer 23

it would be pos

Question 24

whats max revenue

Answer 24

y value on vertex

Question 25

how to solve for determineing how many sold / price to get max revenue

Answer 25

use x varible sub into equation then times and add/sub other value

Question 26

nearest hundreth

Answer 26

2 dec places

Question 27

nearest tenth

Answer 27

1 dec place

Question 28

when given a y value in a senerio with a fuction what do you do to solve for x value

Answer 28

you sub into y place then write y1 y2 method get intersepts and those are the 2 possible values to get y

Question 29

when putting into vertex form does the other point not vertex swap signs when going into ( )

Answer 29

no the other point does NOT swap signs when going into the ( )