Question 765314
1.Express the Quadratic Function in Standard Form.
2.Find it's Vertex and its x- and y- intercept(s). 
Standard form of equation: {{{y=A(x-h)^2+k}}}, (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
{{{f(x)=2(x+1)^2+1}}}
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:
{{{ graph( 300, 300, -5, 5, -5, 5, 2x^2+4x+3) }}}