A quadratic function is given. f(x) = x2 + 8x + 15 (a) Express the quadratic fun

Algebra
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A quadratic function is given.

f(x) = x2 + 8x + 15
(a) Express the quadratic function in standard form. 
f(x) =

(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.) 
vertex    (xy) =
 
 
x-intercepts    (xy) =
 
 
 (smaller x-value)
(xy) =
 
 
 (larger x-value)
y-intercept    (xy) =
 
 


Jul 6th, 2015

Thank you for the opportunity to help you with your question!

(a) 

f(x) = x2 + 8x + 15

  = (x2 + 8x + 16) - 1

  = (x + 4)2 - 1

(b)

vertex: (x, y) = (-4, -1)

x-intercepts: (x, y) = (-5, 0) and (-3, 0)

y-intercept: (0, 15)


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Jul 6th, 2015

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Jul 6th, 2015

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