2. Quadratic Theory Strategies Higher Maths Click to start

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

4. Hint Quit Previous Next 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

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

6. Hint Quit Previous Next 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

7. Hint Quit Previous Next Quadratic Theory Higher 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? a) Use point (0, p) to find k b) Simultaneous equations Discriminant = 0 for tangency

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

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

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

11. 30°45°60° sin cos tan1 Table of exact values Previous Quadratic Theory Higher