1. Quadratic Graphs and Their Properties
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Graph all three functions on the same coordinate plane. Then compare the graphs.
y=-41x2, y=-21x2, y=5x2
y=-21x2 | y=5x2 | y=-41x2 | ||||
---|---|---|---|---|---|---|
x | -21x2 | (x,y) | 5x2 | (x,y) | -41x2 | (x,y) |
-2 | -21(-2)2 | (-2,-2) | 5(-2)2 | (-2,20) | -41(-2)2 | (-2,-1) |
-1 | -21(-1)2 | (-1,-21) | 5(-1)2 | (-1,5) | -41(-1)2 | (-1,-41) |
0 | -21(0)2 | (0,0) | 5(0)2 | (0,0) | -41(0)2 | (0,0) |
1 | -21(1)2 | (1,-21) | 5(1)2 | (1,5) | -41(1)2 | (1,-41) |
2 | -21(2)2 | (2,-2) | 5(2)2 | (2,20) | -41(2)2 | (2,-1) |
Now, let's draw the parabolas by plotting and connecting the obtained points.