Question

Ill Give Medals
Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

x g(x)
1 5
2 10
3 15

Answer 1

Yes, at positive x-coordinates

Yes, at negative x-coordinates

Yes, at negative and positive x-coordinates

No, they will not intersect

Answer 2

@Hotchellerae21

Answer 3

yes

Answer 4

i need i dont know this stuff and i cant find it in my lesson

Answer 5

I need Help

Answer 6

I think you should try plotting the graph of g(x) and if there's a point that will pass through the graph of f(x), then they have an intersection.

Answer 7

i did and i think its B

Answer 8

@Data_LG2

Answer 9

gimme a sec. i'll take a look

Answer 10

ok

Answer 11

Its either C or B

Answer 12

hello @Data_LG2

Answer 13

Can you help @CynfulBaddie

Answer 14

@Data_LG2

Answer 15

can you help @Hotchellerae21

Answer 16

i can try

Answer 17

ok thanks

Answer 18

hello i think its C now looking at the problem @Hotchellerae21 @Data_LG2

Answer 19

i think it is C too i don't know

Answer 20

it could also Be B

Answer 21

can you help me @amistre64

Answer 22

@Hotchellerae21

Answer 23

@data

Answer 24

@Data_LG2

Answer 25

ill give you all medals

Answer 26

If you help

Answer 27

yes

Answer 28

yes what?

Answer 29

@dan815

Answer 30

Can you help @dan815

Answer 31

Figure out what the equation of that quadratic function is

Answer 32

thanks @dan815

Answer 33

i pretty sure its B

Answer 34

@dan815

Answer 35

y=ax^2+bx+c
are x=0, y=2 so
2=a(0^2)+b(0)+c
therefore c=2
y=ax^2+bx+2
Now, sub in another couple points
4=a(2^2)+b(2)+2
4=a(-2)^2+b(-2)+2
----------------
4=4a+2b+2
4=4a-2b+2
-------------
^---- solving these 2 equations gives us
a=1/2 and b=0
y=1/2x^2+2 <-- is our equation

Answer 36

so is it B Because im pretty sure it is

Answer 37

@dan815 is it B

Answer 38

y=mx+b is the equation of a line, i want to rush a bit so
y=5x is the eqn of your line
lets see if theres an intersection
y=5x
y=1/2x^2+2
5x=1/2x^2+2
10x=x^2+4
x^2-10x+4=0

\[+or-b+\frac{\sqrt{(b^2-4ac)}}{2a}\]
under the radical b^2-4ac= 100-(4*1*4) <--- isnon negative so, yes there will be intersection points, infact 2 intersection points