### Top results

concavity concavity the second deriviative measures the change in slope with respect to x, this is known as concavity concavity up concave is curve the,0 if

1. concavity 2. concavity the second deriviative measures the change in slope with respect to x, this is known as concavity 3. concavity the second deriviative measures the

1. chords of a parabola 2. chords of a parabola (1) chord 3. chords of a parabola (1) chord y x 2 4ay x 4. chords of a parabola (1) chord y x 2

1. concavity 2. concavitythe second deriviative measures the change in slope with respect to x,this is known as concavity 3. concavitythe second deriviative measures the

locus locus the collection of all points whose location is determined by some stated law. locus locus the collection of all points whose location is determined by some stated

concavity concavity the second deriviative measures the change in slope with respect to x, this is known as concavity concavity up concave is curve the,0 if

1. parametric coordinates 2. parametric coordinates cartesian coordinates: curve is described by one equation and pointsare described by two numbers. 3. parametric coordinates

locus problems locus problems (get rid of the ps and qs) locus problems (get rid of the ps and qs) we find the locus of a point. locus problems (get rid of the

1. geometrical theorems aboutparabola 2. geometrical theorems about (1) focal chordsparabola 3. geometrical theorems about(1) focal chords parabola e.g. prove that the tangents

1. tangents & normals(ii) using cartesian 2. tangents & normals (ii) using cartesian (1) tangent 3. tangents & normals (ii) using cartesian (1) tangentyx 2

1. parametric coordinates 2. parametric coordinatescartesian coordinates: curve is described by one equation and points are described by two numbers. 3. parametric coordinatescartesian

chord of contact chord of contact y x 2 4x ay chord of contact y x 2 4x ay we know the coordinates of an external point (t) chord of contact y x 2 4x ay 0

1. maxima & minima problems 2. maxima & minimaproblems when solving word problems we need to; 3. maxima & minima problems when solving word problems we need to;

locus problems locus problems eliminate the parameter (get rid of the ps and qs) locus problems we find the locus of a point. eliminate the parameter (get rid of the

1. tangents & normals(i) using parametrics 2. tangents & normals (i) using parametrics (1) tangent 3. tangents & normals(i) using parametrics (1) tangentyx 2

1. the parabola as a locusy x 2. the parabola as a locusya point moves so that its distance from a fixed point (focus) is equal to its distance from a fixed line (directrix)x

1. calculus rules 2. calculus rules 1. chain rule 3. calculus rules 1. chain rule bring down the power, lower the power, diff the inside 4. calculus rules 1. chain

1. polynomial theorems 2. polynomial theorems remainder theorem if the polynomial p(x) is divided by (x a), then the remainder is p(a) 3. polynomial theorems remainder

1. the quadrilateral familyquadrilateraltrapeziumkiteparallelogram rhombusrectanglesquare 2. the quadrilateral family quadrilaterals can be classified according to the features

1. absolute value 2. absolute value a, a 0a a, a 0 3. absolute value a, a 0 a a, a 0absolute value is distance of a number