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MATHS A-LEVEL QUESTIONS AND ANSWERS RATED A

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MATHS A-LEVEL QUESTIONS AND ANSWERS RATED A How do you find the gradient of a line on a graph? ✔✔Increase in y --------------- Increase in x How do you find the perpendicular gradient? ✔✔ How do you find the gradie ...

MATHS A-LEVEL QUESTIONS AND ANSWERS RATED A How do you find the gradient of a line on a graph? ✔✔Increase in y --------------- Increase in x How do you find the perpendicular gradient? ✔✔ How do you find the gradient of a line using two coordinates? ✔✔y2-y1 ------ x2-x1 How do you find the equation of a straight line? ✔✔y-y1 = m( x- x1) How do you find the points of intersection? ✔✔By treating the two equations as simultaneous equations in order to work out the x and y coordinates. What are the three ways of solving quadratic equations? ✔✔Factorising Completing the Square The Quadratic Formula What is the discriminant? ✔✔b²-4ac What does it mean if the discriminant is >0? ✔✔There are 2 real distinct solutions What does it mean if the discriminant = 0? ✔✔There is 1 repeated root What does it mean if the discriminant <0? ✔✔There are no real solutions How do you find the minimum point of a quadratic graph? ✔✔Using the complete the square method: y= k(x-p)²+q The coordinates of the minimum point are (p,q) How do you find the line of symmetry of a quadratic graph? ✔✔x=p How does the discriminant tell you the points of intersection? ✔✔>0 : there are 2 points of intersection =0 : there is one point of intersection <0 : there is no points of intersection What happens to the inequality sign when the multiplying or dividing inequalities? ✔✔It flips and changes direction How is the inequality of the part of the quadratic graph that is above the x axis written? ✔✔x< a or x>b How is the inequality written for the part of the graph that is below the x axis written? ✔✔a < x < b What does this transformation do: f(x-2) ✔✔Move 2 to the right What does this transformation do: f(x)-2 ✔✔Move 2 down What does this transformation do: 4f(x) ✔✔Stretch by 4 in y direction What does this transformation do: f(3x) ✔✔Strech by a 1/3 in x direction What does this transformation do: -f(x) ✔✔Reflect in x axis What does this transformation do: f(-x) ✔✔Reflect in y axis

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