In the function y=3(x+1)^2+7 , what effect does the number 7 have on the graph, as compared to the graph of the function y=x^2 ?
A. It shifts the graph up 7 units.
B. It shifts the graph down 7 units.
C. It shifts the graph 7 units to the left.
D. It shifts the graph 7 units to the right.
***Idk im kinda confused... please explain?? thanks :)
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OpenStudy (anonymous):
i feel like it is either shifts up or to the right... is that a right guess?? if so, idk which one it is tho :/
jimthompson5910 (jim_thompson5910):
If the parent function is
f(x) = x^2
then the new function
f(x) = a(x-h)^2 + k
allows us to translate (ie shift it around) and stretch/compress it
jimthompson5910 (jim_thompson5910):
The value of k is what does the shifting up/down
jimthompson5910 (jim_thompson5910):
So k = 7 does what?
OpenStudy (anonymous):
shifts to the right 7 units??
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jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
look what I wrote above
OpenStudy (anonymous):
is that what it means?? ohhh is it shifts up 7 units??? like it is stretched vertically 7 units then??
OpenStudy (anonymous):
ohhh i see haha shifts UP/DOWN not to the right or to the left.. right??? so is it up?? since it is positive 7?
jimthompson5910 (jim_thompson5910):
yes good
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jimthompson5910 (jim_thompson5910):
k = 7 means shift up 7 units
OpenStudy (anonymous):
so my answer is A?
OpenStudy (anonymous):
and if i t said -7 it would be shifts DOWN 7 units??? did i get this right?
jimthompson5910 (jim_thompson5910):
it is
jimthompson5910 (jim_thompson5910):
and yes, -7 means go 7 units down
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