SOLUTION: 1.Express the Quadratic Function in Standard Form. 2.Find it's Vertex and its x- and y- intercept(s). f(x)=2x^2+4x+3

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Question 765314: 1.Express the Quadratic Function in Standard Form.
2.Find it's Vertex and its x- and y- intercept(s).
f(x)=2x^2+4x+3

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
1.Express the Quadratic Function in Standard Form.
2.Find it's Vertex and its x- and y- intercept(s).
Standard form of equation: , (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or steepness of the curve
f(x)=2x^2+4x+3
complete the square
f(x)=2(x^2+2x+1)-2+3

vertex(-1,1)
..
y-intercept
set x=0
y=2x^2+4x+3
y=3
..
x-intercept
set y=0
0≠2x^2+4x+3
x-intercept: none
see graph below as a visual check:

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