Question

Please help will fan and medal!!!!!!!!!!

Answer 1

Two quadratic functions are shown.

Function 1:
f(x) = 4x2 + 8x + 1 Function 2:
x g(x)
−2 2
−1 0
0 2
1 8


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

Function 1 has the least minimum value and its coordinates are (−1, −3).
Function 1 has the least minimum value and its coordinates are (0, 1).
Function 2 has the least minimum value and its coordinates are (−1, 0).
Function 2 has the least minimum value and its coordinates are (0, 2).

Answer 2

@welshfella

Answer 3

the least value for g(x) as seen from the table is at (-1,0)

Answer 4

now you need to find the coordinates of the minimum value of 4x^2 + 8x + 1

do you know how to do that ?

Answer 5

No. I am just learning it.

Answer 6

you can do it by converting to vertex form
is that what you are learning?

Answer 7

I dont know what grade you are working at

Answer 8

the general form for the vertex is

a(x - b)^2 + c

Answer 9

you perform what is called 'complete the square' on the terms in x^2 and x

Answer 10

ok.

Answer 11

??

Answer 12

ok so the answer is C?

Answer 13

4x2 + 8x + 1

= 4(x^2 + 2x + 1/4)

= 4 [(x + 1)^2 - 3/4]

so the minimum values is at the coordinates (-1 , 4*-3/4) = (-1,-3)

Answer 14

so compare this wit (-1,0) and you'll see which has minimum value

Answer 15

- the second coordinate will give you the minimum value (because second cood is the value of the function)

Answer 16

ok?

Answer 17

So the answer is D? Correct?

Answer 18

No it cant be D because the coordinates re not (0,2)

Answer 19

compare (-1,0) and (-1,-3) thats all you need do