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the vertex is (-3,-13) and the y-intercept is -4. what is f(x)?

 Feb 19, 2020

Best Answer 

 #1
avatar+18974 
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If it is a parabola, it's equation is:  y - k  =  a(x - h)2  where (h, k) is it's vertex.

 

Substituting  h = -3  and  y = -13:  y - -13  =  a(x - -3)2     --->     y + 13  =  a(x + 3)2  

y-intercept = -4  -->  x = 0  and  y = -4     --->     -4 + 13  =  a(0 + 3)2     --->     9  =  9a     --->    a  = 1

 

Solution:  y + 13  =  1(x + 3)2     --->     y + 13  =  (x + 3)2  

 Feb 19, 2020
 #1
avatar+18974 
+1
Best Answer

If it is a parabola, it's equation is:  y - k  =  a(x - h)2  where (h, k) is it's vertex.

 

Substituting  h = -3  and  y = -13:  y - -13  =  a(x - -3)2     --->     y + 13  =  a(x + 3)2  

y-intercept = -4  -->  x = 0  and  y = -4     --->     -4 + 13  =  a(0 + 3)2     --->     9  =  9a     --->    a  = 1

 

Solution:  y + 13  =  1(x + 3)2     --->     y + 13  =  (x + 3)2  

geno3141 Feb 19, 2020

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