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Mathematics 9 Online
OpenStudy (anonymous):

GIVING OUT MEDALSSSS PLZ HELP ME

OpenStudy (kamibug):

Please post your question. :)

OpenStudy (anonymous):

They left? because they aren't viewing anymore...

OpenStudy (anonymous):

hi I'm sorry. I was at dinner. @KamiBug

OpenStudy (kamibug):

It's okay. :) Still need help?

OpenStudy (anonymous):

yes please! i actually have 4 that i need help with

OpenStudy (kamibug):

Alrighty, well let's see the first one ^_^

OpenStudy (anonymous):

What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below?

OpenStudy (kamibug):

Could you attach the graph? :D

OpenStudy (anonymous):

OpenStudy (kamibug):

First, you need to know that the graph of \[f(x)=\log_3x\] looks like this.

OpenStudy (kamibug):

Next, you need to know the difference between adding or subtracing INSIDE the function and OUTSIDE the function. Do you remember what your lesson said about that? :)

OpenStudy (anonymous):

no :( Im just trying to do my math quickly because i have to finish a huge project due tomorrow

OpenStudy (kamibug):

Okay, no problem. A number adding or subtracting inside the parentheses of a function creates a horizontal shift. Such functions are written in the form f(x – h), where h represents the horizontal shift. If the number is being subtracted from x, the graph will move to the right that many units. And if the number is being added to x, the graph will move to the left that many units. For example, if it's f(x+3) that would move the graph to the left 3 units. Get it? :) Now, if we are working on the outside of the function, it will affect the graph vertically. (Subtraction making it move down and addition making it move up.) Take another look at the graph I posted of the original function then look at your new graph. Which way did the graph move? :)

OpenStudy (anonymous):

So would it be B? @KamiBug

OpenStudy (anonymous):

no wait. D

OpenStudy (kamibug):

Close. The graph did move vertically. But choice D would suggest it moved up. It actually moved down so we'd be subtracting. :) Notice how in my graph there is a point at (3, 1). Then in your graph that same point ends up at (3, -1). Get it?

OpenStudy (anonymous):

Oh okay

OpenStudy (anonymous):

So it would be C? @KamiBug

OpenStudy (kamibug):

Yes, perfect. :)

OpenStudy (anonymous):

Okay Thank you ! i have one more that i need reassurance on @KamiBug

OpenStudy (kamibug):

Okay! :D Ask away.

OpenStudy (anonymous):

OpenStudy (anonymous):

@kamibug

OpenStudy (kamibug):

Can you try to show me what the parent function looks like? :)

OpenStudy (kamibug):

Sorry for replying late, by the way. I reccomend a good graphing program like Desmos for these problems. :) https://www.desmos.com/calculator/auubsajefh

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