## anonymous one year ago Two quadratic functions are shown. Function 1: f(x) = 2x2 − 8x + 1 Function 2: x g(x) −2 2 −1 −3 0 2 1 17 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its coordinates are (0, 1). Function 1 has the least minimum value and its coordinates are (2, −7). Function 2 has the least minimum value and its coordinates are (0, 2). Function 2 has the least minimum value and its coordinates are (−1, −3).

1. anonymous

@campbell_st

2. anonymous

any help

3. campbell_st

ok.... in the 2nd function, g(x) what is the lowest value in the g(x) column... and what x value is associated with it

4. anonymous

ok is it -2,2 @campbell_st

5. campbell_st

no... look down the g(x) column 1st... what is the lowest value...?

6. anonymous

-3

7. campbell_st

great and the x value associated with is it -1 so g(x) has a minimum at (-1, -3)

8. campbell_st

so is this algebra or calculus..?

9. anonymous

thank uu

10. anonymous

algebra

11. campbell_st

well you have to look at f(x) as well

12. campbell_st

ok for f(x) you need to find the line of symmetry, the minimum value lies on the line of symmetry so use $x = \frac{-b}{2 \times a}$ your f(x) has b = -8 and a = 2 can you substitute them and calculate a value for x

13. anonymous

x=-2

14. anonymous

@campbell_st

15. campbell_st

not quite its x = 2 $x = \frac{-(-8)}{2 \times 2} = 2$ so substitute x = 2 into f(x) and calculate a value... this will be the minimum for f(x)

16. anonymous

im confused

17. campbell_st

find $f(2) = 2\times 2^2 - 8 \times 2 + 1$

18. anonymous

-7

19. anonymous

@campbell_st

20. campbell_st

ok... so now which point is lower (2, -7) or (-1, -3)...?|dw:1437682422778:dw|

21. anonymous

2,-7

22. campbell_st

23. anonymous

thanks

24. anonymous

u think u can help with a few more

25. anonymous

@campbell_st

26. campbell_st

no, i'm about to go to school... its friday morning in Australia

27. anonymous

oh ok

28. anonymous

thx anyways