Question

Two quadratic functions are shown.

Function 1:
f(x) = 3x2 + 6x + 7 Function 2:

x g(x)
−2 13
−1 7
0 3
1 7


Which function has the least minimum value and what are its coordinates?

Answer 1

@JoCelM

Answer 2

can you help

Answer 3

Possibly,

you can find the minimum value of a quadratic function by using the formula
-b/2a so -6/3*2 so -6/6 so the minimum value for the first one is -1.

then, try to plot the values of the second function the lowest y value or g(x) value in this equation is what?

Answer 4

wait what

Answer 5

Yes that's what i was going to say. Use the function -b/2a in the function ax^2+bx+c

Answer 6

It helps you find the vertex of the problem or other words the "minimal value"

Answer 7

and ax²+bx+c is the standard form of a quadratic that's where I got my a and b from, the equation is 3x²+6x+7 so 3 is a and 6 is b and 7 is c.

Answer 8

So 3x^2+6x+7 is a=3 b=6 c=7 because the original function

Answer 9

so it would be Function 2 has the least minimum value and its coordinates are (−1, 7).

Answer 10

No. You want the lowest possible y value, out of those 2 equations which has the lowest y value?

Answer 11

ok functioon 2 u just look for the lowest y value, this case 3

Answer 12

Function 2 has the least minimum value and its coordinates are (0, 3).

Answer 13

so the coordinates are 0,3 and function 1 is....

Answer 14

y is g(x) in function 2 and the lowest y value is 3. the first equation we calculated with our equation to have the lowest y value of -1

Answer 15

so I'm right?

Answer 16

Now you use that -1 and plug that into the equation u are given to get the y value

Answer 17

No, the first equation has the lowest y value.

Answer 18

omg im lost

Answer 19

Wait I forgot to plug it in so you plug it back in to get the lowest y value lol oops

Answer 20

ok so Function 1 has the least minimum value and its coordinates are (−1, 4).
what I'm thinking

Answer 21

wait which one

Answer 22

was it Function 2 has the least minimum value and its coordinates are (0, 3)

Answer 23

was it?

Answer 24

hurry my assignemnt ends in 3 mins

Answer 25

so plug in -1 for x in the first equation.... that's your x value....lets find your y value....if f(x) which is y so....if y=3x²+6x+7 and x is -1 -1² is 1... 3*1=3+(6*-1)+7 ...(6*-1) is -6 so....3-6+7 is y....so y is 1 in the first equation....so x,y is -1,1 so which out of the two graphs has the lowest y value? it's the first one and it's coordinates are -1,1

Answer 26

In conclusion it's the first graph and -1,1 are the coordinates.

Answer 27

Which function has the least minimum value and what are its coordinates?
Function 1 has the least minimum value and its coordinates are (−1, 4).
Function 1 has the least minimum value and its coordinates are (0, 7).
Function 2 has the least minimum value and its coordinates are (−1, 7).
Function 2 has the least minimum value and its coordinates are (0, 3).

Answer 28

its not one of the answers

Answer 29

I must've went wrong somewhere....

Answer 30

NO its -1, 10 I think you calculated wrong

Answer 31

Sorry I wasnt being mean. I needed your attention'

Answer 32

3x^2 is (-3)^2 which is 9-6+7

Answer 33

function 2 with 0,3 hurry bud!

Answer 34

so i do 9-6+7

Answer 35

i got all them right with you guy

Answer 36

THANKS SO MUCH

Answer 37

I see where I went wrong haha.

Answer 38

No its not 10 ahhh. Im lost

Answer 39

ITS
Function 2 has the least minimum value and its coordinates are (0, 3).

Answer 40

i got it right

Answer 41

hey he got it right, we're good. gimme a sec and I'll see what function1's coordinates were lol

Answer 42

Im confused if the vertex of func 1 is -1 how do you get the y value as 7?

Answer 43

or 4

Answer 44

y value of that one is 10 I believe....

Answer 45

YES!!! ok im not going crazy but her choices didnt have -1, 10

Answer 46

Ok, im gonna blame the answer choices and believe I did it right hopefully :)

Answer 47

oh oops I said he and she's a she.