SOLUTION: Draw the graph of y=4+2x-x^2 for values of x from -2 to 4 using a scale of 2cm to represent 1 unit on both axis.
(i). From your graph obtain the roots of the equation
4+2x
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Question 1132709: Draw the graph of y=4+2x-x^2 for values of x from -2 to 4 using a scale of 2cm to represent 1 unit on both axis.
(i). From your graph obtain the roots of the equation
4+2x-x^2=0, correct to one decimal place.
(ii). On the same axis as in (a) above, draw a line graph which need to solve the 3+x-x^2.
(iii). From the graph solve 3+x-x^2=0
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
-x^2+2x+4=0
The vertex has x value=-b/2a or -2/-2 or x=1. When x=1, y=5
The graph is vertex high and opens downward moving 1 unit x to each side 1 unit y down and 2 units to each side and 2 down.
From the quadratic formula, first rewrite by multiplying by -1 to get x^2-2x-4=0
x=(1/2)(2+/- sqrt (4+16)) or 1+/- sqrt(5), or 3.2 and -1.2
these are the roots.
for the other, graph in a similar fashion and the roots are x=(1/2)(1+/- sqrt(13)), or -1.3, 2.3.
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