SOLUTION: The Equation y=-4.9x^2+9x+15 describes the height of a diver,y, in metres at x seconds
a)Use the partial factored form to make a sketch of the parabola.
Answer)
y=-4.9x^2+9x+15
Question 153097: The Equation y=-4.9x^2+9x+15 describes the height of a diver,y, in metres at x seconds
a)Use the partial factored form to make a sketch of the parabola.
Answer)
y=-4.9x^2+9x+15
y=-4.9(0)^2+9(0)+15
y=15
Find the second point where y=15
y=-4.9x^2+9x+15
15=-4.9^2+9x+15
15-15=-4.9^2+9x+15-15
0=-4.9^2+9x
0=1(-4.9x^2+9x)
Here I have a problem as I dont know how to factor -4.9 and 9
You can put this solution on YOUR website! The Equation y=-4.9x^2+9x+15 describes the height of a diver,y, in metres at x seconds
a)Use the partial factored form to make a sketch of the parabola.
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I think you are trying to plot points. That is not what "partial
factored form" implies.
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-4.9x^2 + 9x = y-15
-4.9(x^2 - (9/4.9)x + (4.5/4.9)^2) = y - 15 -4.9(4.5/4.9)^2
-4.9(x-(4.5/4.9))^2 = y - 19.1326
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As you saw the y-intercept is (0,15)
As the partial factor form shows; the axis symmetry is x = (4.5/4.9)
Also f(4.5/4.9) = 19.133 gives you the coordinates of the vertex.
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Graph:
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Cheers,
Stan H.
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