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.

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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.

Mathematics
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Jim_Thompson5910 can you help me
what do you have so far in terms of work done? @Elenathehomeschooler
i have y=-2(x-1/2)^2-5

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im not sure if that is correct though.
let me think
did my chart help last time? or no?
yes it did
ok let me draw it up
|dw:1443828636985:dw|
|dw:1443828683066:dw|
"experiences a shift left by 2 units" |dw:1443828709904:dw|
notice how I replaced x with x+2
ok
|dw:1443828813572:dw|
"horizontal shrink of factor 1/2" tells us to double all of the (x+2) inside the squaring portion |dw:1443828678301:dw|
y = (2(x+2))^2 turns into y = (2x+4)^2 |dw:1443828738875:dw|
|dw:1443828783238:dw|
you tack on a `-5` to shift everything down 5 units
oh i see the horizontal shrink was getting me confused.

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