Help with precalculus question: if this is the graph of f(x)= a^(x+h)+k, then:
A. K>1
B. a>1
C. a<0
D. 0
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OpenStudy (anonymous):
OpenStudy (xapproachesinfinity):
a>1
OpenStudy (anonymous):
why?
OpenStudy (xapproachesinfinity):
Okay when a<0 the graph should open down.
when a>0 it opens up and it will look like it is touching the horizontal line y=-4 in this case
in the case F(x)=4X^2 for example it will it will touch the x axis before it will go up of down
OpenStudy (xapproachesinfinity):
C is not true so we are left with A and B only
and since (h,k)=(0,-4) then k<1 not k>1
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OpenStudy (xapproachesinfinity):
I'm sorry, when a>1 not a>0. this is the case when it touches the horizontal line k=-4 in you case
OpenStudy (xapproachesinfinity):
@solidrebirth
OpenStudy (anonymous):
ok
OpenStudy (xapproachesinfinity):
If you're familiar with parabolas when 0<a<1 the graph will be stretched and will look very tiny
OpenStudy (anonymous):
thank you
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OpenStudy (xapproachesinfinity):
Oh, no wait. I'm saying things the opposite. if it's 0<x<1 it will touch the horizontal line Y=k
Not when a>1. a>1 it will look smaller. Sorry!