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Mathematics 24 Online
OpenStudy (anonymous):

Help! MEDAL!

OpenStudy (anonymous):

|dw:1421986830916:dw|

OpenStudy (anonymous):

How do I graph this?

OpenStudy (anonymous):

idk tag sommeone who is smart like misty1212

OpenStudy (anonymous):

More specifically: How do I describe the graph?

OpenStudy (anonymous):

\[3\sqrt[3]{x-3}-5\] is this the eq.

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

Hello?

OpenStudy (anonymous):

@dan815 @ganeshie8 @Nnesha

OpenStudy (wolf1728):

I'm working on a graph.

OpenStudy (anonymous):

y = f(x) + C C > 0 moves it up C < 0 moves it down y = f(x + C) C > 0 moves it left C < 0 moves it right y = C·f(x) C > 1 stretches it in the y-direction 0 < C < 1 compresses it y = f(Cx) C > 1 compresses it in the x-direction 0 < C < 1 stretches it y = -f(x) Reflects it about x-axis y = f(-x) Reflects it about y-axis

OpenStudy (anonymous):

if this is what you are looking for!

OpenStudy (anonymous):

So how would you describe the graph the equation makes?

OpenStudy (anonymous):

shifted by 5 unit to the left, stretches

OpenStudy (anonymous):

But what does the cubed root do?

OpenStudy (wolf1728):

Here's the graph

OpenStudy (anonymous):

How would you describe that?

OpenStudy (wolf1728):

How would I describe it?

OpenStudy (anonymous):

Yup. If that were given to you as an Algebra 2 H problem, what would you answer?

OpenStudy (wolf1728):

I might graph it a little more to the left to see if the curve changes.

OpenStudy (anonymous):

Domain is all real number and increases exponentially?

OpenStudy (misty1212):

look at the second picture

OpenStudy (misty1212):

looks like \(y=\sqrt[3]{x}\) only shifted right 3, down 5

OpenStudy (wolf1728):

Rather than graphing let's look at some x and y values: 20 2.714 100 8.784 200 12.456 300 15.016 1,000.00 24.970 10,000.00 59.627 100,000.00 134.246 1,000,000.00 295.000 y increases bu is it increasing exponentially?

OpenStudy (wolf1728):

Okay, I calculated it for larger values of x and y 1.00E+09 2,995.00 1.00E+12 29,995.00 1.00E+15 299,995.00 1.00E+18 2,999,995.00 1.00E+21 29,999,995.00 1.00E+24 299,999,995.00 1.00E+27 2,999,999,995.00 1.00E+30 29,999,999,995.00 We can see that when 'x' increases by a factor of 1,000 'y' increases by a factor of 10

OpenStudy (wolf1728):

Can you read that okay?

OpenStudy (anonymous):

I have no idea what I'm doing with this anymore...

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