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Find the x-intercepts and axis of symmetry of the function.

 

g(x)=2/3x(x+8)

 Mar 4, 2019
edited by Nerd123  Mar 4, 2019
 #1
avatar+103122 
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g(x)=(2/3)x(x+8)

 

In this form the x intercepts are easy to find...these are just the roots

 

So (2/3) x (x - 8 ) = 0      multiply through by 3/2

 

x ( x - 8) = 0

 

x = 0     is a root = x intercept

 

And

 

x - 8 = 0

 

x = 8     is a root = x intercept

 

This is a parabola....The axis of symmetry is vertical..this is  just the average of the roots 

 

So...the axis of symmetry  is

 

x = (0 + 8) / 2  

 

x = 8 /2

 

x = 4  =  axis of symmetry

 

 

 

cool coolcool

 Mar 4, 2019
edited by CPhill  Mar 4, 2019
edited by CPhill  Mar 4, 2019

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