## KE8717504 3 years ago Consider the graph of a quadratic function shown to the right. A. Write a quadratic function that has x^2 -coefficient equal to 1 and has the x-intercepts indicated. B. Write a quadratic equation in the variable x, with X^2 -coefficienent equal to 1, that has solutions of -6 and -2 c. How many different quadratic functions can have x intercepts of -6 and -2? D. How many different quadratic equations in one variable can have solutions of -6, and -2?

1. KE8717504

@Agent47

2. KE8717504

The graph is a u shape and crosses on the x-axes at both -2, and -6.

3. KE8717504

@Agent47

4. Agent47

can u tell me at what y-value is its lowest point?

5. KE8717504

-4 is it's lowest point on the y axis

6. Agent47

brb gonna make some tea..

7. KE8717504

ok

8. Agent47

A. Write a quadratic function that has x^2 - coefficient equal to 1 and has the x-intercepts indicate: y=x^2+bx+c 0 Intercepts are -6 and -4, so: 0=(-6)^2+b(-6)+c 0=(-2)^2+b(-2)+c -36=-6b+c -4=-2b+c

9. KE8717504

ok so that is going to be my A part for my formula?

10. Agent47

A: y=x^2+8x+14

11. Agent47

wait let me check it

12. KE8717504

ok

y=x^2+8x+12

14. KE8717504

ok im back my computer knocked me off

15. Agent47

sorry i froze when i was typing that 14 shld be 12

16. Agent47

yeah Marina's right

17. KE8717504

so it's x^2+8x+12?

18. KE8717504

For a part

19. Agent47

yea for A

20. KE8717504

ok

21. Agent47

B is the same thing

22. KE8717504

23. Agent47

yea

24. KE8717504

for the next one it says ___different quadratic functions or infintiy

25. Agent47

c. How many different quadratic functions can have x intercepts of -6 and -2? infintely many

26. Agent47

infinity

27. KE8717504

Is D going to be infinity also?

28. Agent47

D. How many different quadratic equations in one variable can have solutions of -6, and -2? yea it shld be infinity as well

29. KE8717504

Great!!! Thanks alot :)

30. Agent47

np gnite guys

31. KE8717504

gnite