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Earn +20 ptsQ: Y equals -x2 plus 4x-3
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Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
What are the points of intersection of the curves y equals x2 -7x plus 8 and y equals -x2 plus 9x -6 showing work?
If: y = x2-7x+8 and y = -x2+9x-6 Then: x2-7x+8 = -x2+9x-6 So: 2x2-16x+14 = 0 => x2-8x+7 = 0 Therefore: x = 1 and x = 7 By substitution: x =1, y = 2 and x = 7, y = 8 Points of intersection: (1, 2) and (7, 8)
What is the shape of the function y equals 16x plus x2?
(the shape is an upside down 'u').
The polynomial y equals x2 - 4x plus 4 has a repeated factor?
y = x2 - 4x + 4 can be factored into y = (x-2)(x-2) The repeated factor is 2.
What is the line of symmetry for the parabola whose equation is y equals x2 plus 10x plus 25?
When x = -5
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