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Excel in math and science
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Geometry
Isometries
Excel in math and science
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Concept Quizzes
Point \((2, 1)\) is moved to point \((10,11)\) by \[T: (x, y) \rightarrow (x+a, y+b).\] What is \(a+b\)?
Excel in math and science
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by Brilliant Staff
If we translate the point \((9, 3)\) by \((13, 2),\) what would be the new point?
Excel in math and science
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The curve \(y=2x^2+3x-9\) undergoes a parallel translation by \(7\) units in the positive direction of the \(x\)-axis and \(-3\) units in the positive direction of the \(y\)-axis. If the equation of the resulting curve is \(y=ax^2+bx+c,\) what is \(a+b+c?\)
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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Consider a translation of axes \[T: (x, y) \to (x+a, y+b)\] such that the coordinates of a point \(P=(7, 4)\) with respect to the new system of coordinates after translation are \(P'=(10,-11).\) What is the value of \(a+b?\)
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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If the point \((m,n)\) is shifted by \(6\) in the positive \(x\) direction and by \(-12\) in the positive \(y\) direction, then it coincides with the center of the circle \[x^2+y^2-6x+2y-13=0.\] What is the value of \(m+n?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff