A quadratic function is given. f(x) = 2x2 + 4x + 3 (a) Express the quadratic fun

Algebra
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A quadratic function is given.

f(x) = 2x2 + 4x + 3
(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-intercept    (xy) =
 
 
y-intercept    (xy) =
 
 


Jul 6th, 2015

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

(a)

f(x) = 2x2 + 4x + 3

  = (2x2 + 4x + 2) + 1

  = 2(x2 + 2x + 1) + 1

  = 2(x + 1)2 + 1

(b)

Vertex: (x, y) = (-1, 1)

x-intercept: none

y-intercept: (0, 3)

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Jul 6th, 2015

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