Question 1112311
{{{g(x)=2x^2-5x-3=(2x+1)(x-3)}}}

x-intercepts are {{{-1/2}}} and positive {{{3}}}.

y-intercept, where x is zero:  {{{-3}}}.

Vertex:  ( {{{1&1/4}}}, {{{3&1/4}}} )

Range:  all real numbers y such that {{{y>=3&1/4}}}

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Vertex occurs in the exact middle of the two x-intercepts which is {{{1&1/4}}}.