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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…
quadratic identities quadratic identities 2 2 1 1 1 2 2 2if a x b x c a x b x c for more than 2 values of , then;x quadratic identities 2 2 1 1 1 2 2 2if…
1. the discriminant 2. the discriminant b 2 4ac 3. the discriminant b 2 4ac the discriminant tells us whether the roots are rational or irrational…
1. the quadratic polynomial and the parabola 2. the quadratic polynomial and the parabola quadratic polynomial – 3. the quadratic polynomial and the parabola quadratic…
1. locus 2. locus locus the collection of all points whose location is determined by some stated law. 3. locuslocus the collection of all points whose location is determined…
1. the discriminant 2. the discriminant b 2 4ac 3. the discriminant b 2 4acthe discriminant tells us whether the roots are rational or irrational…
1. maximum/minimum problems 2. maximum/minimum problems maximum/minimum problems involve finding the vertex of a quadratic 3. maximum/minimum problems maximum/minimum problems…
parametric coordinates parametric coordinates cartesian coordinates: curve is described by one equation and points are described by two numbers. parametric coordinates cartesian…
quadratic identities quadratic identities 2 2 1 1 1 2 2 2if a x b x c a x b x c for more than 2 values of , then;x quadratic identities 2 2 1 1 1 2 2 2if…
locus problems locus problems eliminate the parameter (get rid of the p’s and q’s) 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. tangents & normals(ii) using cartesian 2. tangents & normals (ii) using cartesian (1) tangent 3. tangents & normals (ii) using cartesian (1) tangentyx 2 …
1.sum and product of roots 2. sum and product of rootsif and are the roots of ax 2 bx c 0, then; 3. sum and product of rootsif and are the roots…
1. equations reducible to quadratics 2. equations reducible to quadratics 3. equations reducible to quadratics 4. equations reducible to quadratics 5. equations reducible…
1. the sign of a quadratic 2. the sign of a quadraticpositive definiteyx 3. the sign of a quadraticpositive definiteyx 4. the sign of a quadraticpositive definiteyx a0…
1. quadratics and completing thesquare 2. quadratics and completing the square e.g. sketch the parabola y x 2 8 x 12 3. quadratics and completing the square e.g.…
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. the sign of a quadratic 2. the sign of a quadratic positive definite y x 3. the sign of a quadratic positive definite y x 4. the sign of a quadratic positive definite…
1. the parabola as a locus yx 2. the parabola as a locus ya point moves so that its distancefrom a fixed point (focus) isequal to its distance from a fixedline (directrix)x…
the parabola as a locus y x the parabola as a locus a point moves so that its distance from a fixed point (focus) is equal to its distance from a fixed line (directrix) y…