## mskyeg 2 years ago Compare each function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function? y = –|8x + 4| – 2

1. mskyeg

Possible answers: (1/2,2) ; x=-1/2 ; translated to the left 1/2 unit and up 2 units. (-1/2,-2) ; x=-1/2 ; translated to the left 1/2 unit, up 2 units, and reflected in the x-axis. (1/2,2) ; x=1/2 ; translated to the right 1/2 unit and up 2 units, and reflected in the y-axis. (1/2,-2) ; x=1/2 ; translated to the right 1/2 unit and up 2 units

2. Hero

First thing you should ask yourself is, "What is the parent function?". When you figure that out, you'll be half way there.

3. mskyeg

is it y=lxl

4. Hero

Yup

5. mskyeg

what do i do next?

6. Hero

Well, one thing you can do is insert the possible (x,y) values into the formula to see which ones work. Once you do that, you should be able to eliminate at least two of the answers.

7. mskyeg

what?

8. mskyeg

i am so confused

9. Hero

Are you not given (x,y) = (1/2, 2) ? Try that and see if it works. If not, try (x,y) = (-1/2,2)

10. Hero

Watch me plug one of the values into the formula: y = –|8x + 4| – 2 (2) = -|8(1/2) + 4| - 2

11. Hero

Does that make any sense?

12. mskyeg

i think so

13. mskyeg

oh wait ya thats simple

14. mskyeg

but that only eliminates 2 of the answers what about the last two

15. mskyeg

its not 1 or 3 right?

16. Hero

There's only one possible right answer. I just checked again. If you do the arithmetic properly, you should be able to find it.

17. Hero

You're on the right track.

18. mskyeg

is it number 2?

19. Hero

The second option is correct.

20. mskyeg

yay:) thank you so much:)

21. Hero

Good job. Sometimes you have to think outside the box with these questions.