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What is the equation of the graphed function?

 

f(x)= 

 Mar 2, 2019

Best Answer 

 #1
avatar+18840 
+2

Let's look at the vertex form of a parabola

 

th vertex   h, k  of this parabola is   (-3,0)

 

a (x-h)^2 +k  =  y         sub in h and k

a (x-(-3))^2 + 0 = y      now pick an easy point on the parabola.......like   -2,1 and sub it in to find 'a'

a (-2 +3)^2 = 1

a = 1

 

so:   (x+3)^2 = y    or   x^2 + 6x + 9 = y

 Mar 2, 2019
 #1
avatar+18840 
+2
Best Answer

Let's look at the vertex form of a parabola

 

th vertex   h, k  of this parabola is   (-3,0)

 

a (x-h)^2 +k  =  y         sub in h and k

a (x-(-3))^2 + 0 = y      now pick an easy point on the parabola.......like   -2,1 and sub it in to find 'a'

a (-2 +3)^2 = 1

a = 1

 

so:   (x+3)^2 = y    or   x^2 + 6x + 9 = y

ElectricPavlov Mar 2, 2019

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