Question

Medal and explain as well please. :) ♥
Question: A parabola has intercepts of x = -2, x = 3, and y = -4.
Answer these
a. Write the intercept form of the parabola.
b. State the direction of the parabola. Explain.
c. Write in ax2 + bx + c form.
d. What is the axis of symmetry?
e. What is the vertex?
f. Graph the parabola. Label axis, vertex, and intercepts.

Answer 1

@Nnesha please help?

Answer 2

what is the intercept form ?
ax^2+bx+c = standard form
y=a(x-h)^2+k vertex form

Answer 3

thank you @Nnesha :D

Answer 4

x=-2 , x=3
set it equal to zero

Answer 5

okay... then do I plug in something?

Answer 6

then you would apply foil method to get the standard form

Answer 7

foil method? o.o//

Answer 8

(a+b)(c+d) multiply ? FOIL familiar with it ?

Answer 9

-2^2 +3+-4=

Answer 10

??? cross multiply, sorry I don't really remember...

Answer 11

...

Answer 12

y=(x^2+x^3)^4 ???

Answer 13

this is the intercept form of parabola \[\huge\rm y=a(x-p)(x-q)\]
where p and q are the x-intercepts
y= y-intercept

Answer 14

a)^^

Answer 15

given x-intercepts are -2 and 3
so substitute p and q for -2 and 3

Answer 16

\[\huge\rm y=a(x-(-2))(x-3)\]
y intercept is (0 , -4) { y-intercept is a point where graph of the equation intersect y-axis when x=0 )
so substitute y for -4 and 0 for x
solve for a

Answer 17

I never really learned this, so don't be mad... Anyways okay

Answer 18

i've never heard abt intercept form
this is first time i'm doing this

Answer 19

feel free to ask question if you don't get anything :)

Answer 20

http://www.virtualnerd.com/algebra-2/quadratics/transforming-functions/intercept-form/intercept-form-from-graph
i watched this video
watch this maybe you will understand
like i said today is the first time i'm solving intercept form
already familiar with vertex , standard form but not the intercept :D

Answer 21

a= - y/2x(x-3)

Answer 22

a=−y2x(x−3)

Answer 23

okay :/

Answer 24

@Robert136 please help?

Answer 25

replace y with -4

Answer 26

read the statement of the original question

Answer 27

a=-4/2x(x-3)

Answer 28

\[-4=a(x-(-2))(x-3)\]
when y =-4 x would be 0
bec when line intersect at y-axis x=0
so replace x with 0

Answer 29

\[\huge\rm -4=a(\color{reD}{0}-(-2))(\color{reD}{0}-3)\]
like this now solve for a

Answer 30

a=2/3

Answer 31

yes right so intercept for would be ?

\[\huge\rm y=a(x-p)(x-q)\]
replace a with 2/3
p =-2
q=-3

Answer 32

y= 1/2 (x --2) (x--3)?

Answer 33

a =2/3 not 1/2

Answer 34

opps xD i don't know where that came from xD

Answer 35

\[\huge\rm y=\frac{ 2 }{ 3 }(x\color{reD}{-(-2)})(x-3)\]
distribute -(-2)

Answer 36

y=2/3(x--2)(x--3)

Answer 37

hmm q isn't -3

Answer 38

\[\huge\rm y=\frac{ 2 }{ 3 }(x\color{reD}{-(-2)})(x-(+3))\]
distribute -(-2)

Answer 39

-1 times -2 = ?
- times +3 = ?

Answer 40

-2?
3

Answer 41

after that you wll with part a

Answer 42

negative times negative = positive

Answer 43

so -1 times -2 = ?

Answer 44

2

Answer 45

yes so
-1 times 3 = ?

Answer 46

-3?

Answer 47

right

Answer 48

okay xD

Answer 49

2, -3

Answer 50

\[\huge\rm y=\frac{ 2 }{ 3 }(x+2))(x-3)\]

Answer 51

y=2/3(x+2)(x-3)

Answer 52

lol

Answer 53

yep!

Answer 54

xD ♥

Answer 55

now multiply 2/3(x+2)(x-3)
and i've to go now sorry
its urgent :(

Answer 56

for part b) if a is positive then you will get`u` shape
and if a is negative then you will hve `n` shape

Answer 57

cya

Answer 58

sorry I had to go the restroom...

Answer 59

are you there ?

Answer 60

tag me when u're ready okay :)

Answer 61

hey

Answer 62

still here sups, aha

Answer 63

okay great ready !?

Answer 64

`Write in ax2 + bx + c form. `

multiply 2/2(x-3)(x+2)

Answer 65

okay hold up

Answer 66

x^2-x-6?

Answer 67

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
`Write in ax2 + bx + c form. `

multiply 2/2(x-3)(x+2)
\(\color{blue}{\text{End of Quote}}\)
2/3**

Answer 68

(x+2)(x-3)=x^2-x-6 now multiply it by 2/3

Answer 69

okay

Answer 70

let me know what u get

Answer 71

I get nothing :/

Answer 72

what do you mean ?

Answer 73

I get 0

Answer 74

also sorry I had to leave the computer
:/

Answer 75

how did you get 0 ??
2/3(x-3)(x+2) ??

Answer 76

multiplied....

Answer 77

2x^2/3 - 2x/3 -4???