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If y = 9x2 + 12x + 4
Then the y intercept will be when x = 0, which is 4:
y = 9(0)2 + 12(0) + 4
y = 0 + 0 + 4
y = 4
The x intercept will happen when y = 0, which we can work out by finding factors of the equation and determining x values that give us a zero y value:
9x2 + 12x + 4 = 0
9x2 + 6x + 6x + 4 = 0
3x(3x + 2) + 2(3x + 2) = 0
(3x + 2)(3x + 2) = 0
(3x + 2)2 = 0
3x + 2 = 0
3x = -2
x = - 2/3
So the x intercept is at -2/3 and the y intercept is at 4.
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∙ 12y ago
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