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Quadratics
Grade 10 Math
Shiyana Veerasingam
1.) (x+3)(x+3) = x² + 3x + 3x + 9
x² + 6x + 9
y = x² + 6x + 9
2.) y = (x + 1)²
3.) y = (x + 5)²
Answers
4.) 3x² + 6x + 8 = 3(x² + 2x) + 8
3(x² + 2x + 1) − 3 + 8
3(x + 1)² + 5
y = 3(x + 1)² + 5
5.) =x2 + 2x + 3x + 6
=(x2 + 2x) + (3x + 6)
=x(x + 2) + (3x + 6)
=x(x + 2) + 3(x + 2)
=(x + 2)(x + 3)
=(x + 2)(x + 3)
6.) a) 3 seconds
b) 19 meters
c) ball was punted at 1 meters high
t=0
y=-2(t-3)2+19
y=-2(0-3)2+19
y=-2(3)2+19
y=-2(9)+19
y=-18+19
y=1
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