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# Graph

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I don't understand how to do these. With the last one, I graphed each function but they all looked symmetric. Please help and show how to solve these. Thanks!

Oct 23, 2019

### 3+0 Answers

#1
+109563
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The first one is a little tricky, but not that hard if we just think about it

The total perimeter  = 2 (70 + 50)  = 2 * 120  = 240  m

The point (0, 0)  is one point on the graph.....at 0 minutes we have walked  0  m   !!!

Also.....if the person walks for three minutes......he has walked 3(80m)  = 240  m = 1 round

So....he has made  1 round in 3 minutes

So....the point  ( 3,1)   should be on the graph

So.....the graph at the bottom left  is the correct one

Note that  after  6 minutes, we have made 2 rounds

So.....(6,2)  is also on the graph

Oct 23, 2019
#2
+109563
+1

If the graph is symmetric with the y axis....it is an even function which means that

[Symmetric with y means that we can fold the graph over the the y axis and it will lay on top of itself ]

f(x)  = f(-x)

Look at A

f(x)  =  4 - x^2

f(-x)  =  4 - (-x)^2   =   4 - x^2

Since f(x)  = f(-x)......this is the one that is symmetric withthe  y axis

See the graph here :  https://www.desmos.com/calculator/trwnp3rhxf

Oct 23, 2019
#3
+1

Oh okay! I was thinking symmetric was something different. Thank you so much.

Guest Oct 23, 2019