g(x)=-.005x^2+.12x+1.779 describes monthly price of gas for a recent 18month period.what month did the prices reach their peak?how long were prices above $2.05?how long until prices return to $1.779?

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Kathryn -Sketch a picture of the function g(x) be creating a table of x and y values say from 0 to 25 or use your graphing calculator if you have one.  You are only interested in values for x ≥ 0 since a month can not be negative, agree?  What you will get is the right side of a downward opening parabola.The prices will peak when the function g(x) is at the vertex of the parabola. You should remember that the x-coordinate of the vertex is always equal to:x = -b/2aSolve for x in this equation and you will get the month when prices peak!Prices will be above $2.05 when g(x) is above this value.  So set the equation equal to 2.05 and solve for both x values.  Between those two x values are the months when gas is above $2.05.Set g(x) = $1.779 and solve for x to find the month when gas prices return to $1.779.Hope that helps