SOLUTION: Good evening, i need some help. it's due this morning thanks. Using the function, g(x)= 2x^2-5x-3 a) calculate the coordinates of the vertex b) state the axis of symmetry c)fin

Algebra ->  Functions -> SOLUTION: Good evening, i need some help. it's due this morning thanks. Using the function, g(x)= 2x^2-5x-3 a) calculate the coordinates of the vertex b) state the axis of symmetry c)fin      Log On


   

Question 1112311: Good evening, i need some help. it's due this morning thanks.
Using the function, g(x)= 2x^2-5x-3
a) calculate the coordinates of the vertex
b) state the axis of symmetry
c)find the x-intercept
d)find y-intercept
e) state the domain
f) state the range
Thanks!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=2x%5E2-5x-3=%282x%2B1%29%28x-3%29
x-intercepts are -1%2F2 and positive 3.
y-intercept, where x is zero: -3.
Vertex: ( 1%261%2F4, 3%261%2F4 )
Range: all real numbers y such that y%3E=3%261%2F4
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Vertex occurs in the exact middle of the two x-intercepts which is 1%261%2F4.