Question

PLEASE PLEASE HELP

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

you can find the minimum value of a quadratic function by using the formula
-b/2a if we assume that the equation is given in the form y=ax^2 + bx +c
then, try to plot the values of the second function roughly on a graph paper or even a simple paper will do good with some estimation and then, you can get the answer

Answer 2

I dont know how to use that formula. Im new to Algebra.

Answer 3

okay! no problem
assume that we have a quadratic equation of the form y=ax^2 + bx + c
now, compare the equation y=ax^2 + bx + c (we call it the standard equation)
to the given equation, i.e. f(x) = 3x2 + 6x + 7
so we get a=3, b=6, c=7
now put the values of a abd b in the formula that i have specified in the above post
if you want it's derivation, i can help you with it

Answer 4

y=3x^2+6x+7?

Answer 5

yes

Answer 6

i think this question here just require you to input "x"
they already give they g(x) solution for various values of "x"
so;
when x=-2
f(-2)=3(-2)^2+6(-2)+7..=7 .and ....g(-2)=13
when x=-1
f(-1)=3(-1)^2+6(-1)+7....=4 and ...g(-1)=7
when x=0
f(0)=3(0)^2+6(0)+7..=7 ...and g(0)=3
when x=1
f(1)=3(1)^2+6(1)+7 ...= 16 and g(1)=7
so we compare to see which function has the least minimum value..

Answer 7

so function 1 has the least minimum value and its coordinates are 0,7 @LynFran

Answer 8

no that would be function 2... with coordinate (0,3)

Answer 9

wow thankyou so much! @LynFran

Answer 10

Can u help me with more?

Answer 11

welcome

Answer 12

ok

Answer 13

2)A function is shown in the table.


x g(x)
−2 2
−1 −3
0 2
1 17


Which of the following is a true statement for this function?

A: The function is increasing from x=-2 to x=-1
B: The function is increasing from x=0 to x=1
C: The function is decreasing from x=-1 to x=0
D: The function is decreasing from x=0 to x=1

Answer 14

@LynFran

Answer 15

well A, C and D are incorrect so...

Answer 16

lol guess its b

Answer 17

thankyou again so much.

Answer 18

welcome

Answer 19

thank you @UnkleRhaukus for the medal