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Mastering Quadratic Theory: Strategies for Higher Maths Success

Dive into the world of Quadratic Theory with this comprehensive guide designed for higher maths students. This resource includes non-calculator questions that challenge your understanding of parabola intersections, real roots, and graph sketching. Engage with activities that require you to use the discriminant to demonstrate equations and analyze tangents. Perfect for revision or honing your mathematical skills, this resource empowers you with strategies to excel in solving quadratic equations and understanding their graphical representations. Get started today!

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Mastering Quadratic Theory: Strategies for Higher Maths Success

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  1. Quadratic Theory Higher Maths Strategies Click to start

  2. Quadratic Theory Higher The following questions are on Quadratic Theory Non-calculator questions will be indicated You will need a pencil, paper, ruler and rubber. Click to continue

  3. Hint Quadratic Theory Higher Show that the line with equation does not intersect the parabola with equation Put two equations equal Use discriminant Show discriminant < 0 No real roots Previous Quit Quit Next

  4. Hint Quadratic Theory Higher a) Write in the form b) Hence or otherwise sketch the graph of a) This is graph of moved 3 places to left and 2 units up. b) minimum t.p. at (-3, 2) y-intercept at (0, 11) Previous Quit Quit Next

  5. Hint Quadratic Theory Higher Show that the equation has real roots for all integer values of k Use discriminant Consider when this is greater than or equal to zero Sketch graph cuts x axis at Hence equation has real roots for all integer k Previous Quit Quit Next

  6. The diagram shows a sketch of a parabola passing through (–1, 0), (0, p) and (p, 0). a) Show that the equation of the parabola is b) For what value of p will the line be a tangent to this curve? Hint Quadratic Theory Higher a) Use point (0, p) to find k b) Simultaneous equations Discriminant = 0 for tangency Previous Quit Quit Next

  7. Hint Quadratic Theory Higher Given , express in the form Previous Quit Quit Next

  8. Hint Quadratic Theory Higher For what value of k does the equation have equal roots? Discriminant For equal roots discriminant = 0 Previous Quit Quit Next

  9. Quadratic Theory Higher You have completed all 6questions in this section Previous Quit Quit Back to start

  10. Quadratic Theory Higher Table of exact values Previous

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