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Mathematics 13 Online
OpenStudy (anonymous):

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

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

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

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!

OpenStudy (xapproachesinfinity):

So the answer is D

OpenStudy (xapproachesinfinity):

@solidrebirth

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