Elenathehomeschooler one year ago Write a function for the graph described as a transformation of y=x^2 13. y=x^2 experiences a shift left by 2 units, then a horizontal shrink of factor 1/2 , then a shift down of 5 units.

1. Elenathehomeschooler

Jim_Thompson5910 can you help me

2. jim_thompson5910

what do you have so far in terms of work done? @Elenathehomeschooler

3. Elenathehomeschooler

i have y=-2(x-1/2)^2-5

4. Elenathehomeschooler

im not sure if that is correct though.

5. Elenathehomeschooler

@jim_thompson5910

6. jim_thompson5910

let me think

7. jim_thompson5910

did my chart help last time? or no?

8. Elenathehomeschooler

yes it did

9. jim_thompson5910

ok let me draw it up

10. jim_thompson5910

|dw:1443828636985:dw|

11. jim_thompson5910

|dw:1443828683066:dw|

12. jim_thompson5910

"experiences a shift left by 2 units" |dw:1443828709904:dw|

13. jim_thompson5910

notice how I replaced x with x+2

14. Elenathehomeschooler

ok

15. jim_thompson5910

|dw:1443828813572:dw|

16. jim_thompson5910

"horizontal shrink of factor 1/2" tells us to double all of the (x+2) inside the squaring portion |dw:1443828678301:dw|

17. jim_thompson5910

y = (2(x+2))^2 turns into y = (2x+4)^2 |dw:1443828738875:dw|

18. jim_thompson5910

|dw:1443828783238:dw|

19. jim_thompson5910

you tack on a `-5` to shift everything down 5 units

20. Elenathehomeschooler

oh i see the horizontal shrink was getting me confused.