Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level Test Question With A Marking Scheme

Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level Test Question With A Marking Scheme Quadratic Formula - CORRECT ANSWER Graph Translations - CORRECT ANSWER y = f(x) + a is a translation of the graph y = f(x) by a upwards. y = f(x + a) is a translation of the graph y = f(x) by a to the left. Graph Stretches - CORRECT ANSWER y = af(x) is a stretch of the graph y = f(x) by a scale factor of a in the vertical direction. y = f(ax) is a stretch of the graph y = f(x) by a scale factor of 1/a in the horizontal direction. Graph Reflections - CORRECT ANSWER y = -f(x) is a reflection of the graph of y = f(x) in the x-axis. y = f(-x) is a reflection of the graph of y = f(x) in the y-axis. Gradient of Equation - CORRECT ANSWER m = (y₂ - y₁) ÷ (x₂ - x₁) Equation of a Line - CORRECT ANSWER y - y₁ = m(x - x₁) with coords (x₁, y₁) Distance Formula - CORRECT ANSWER √((x₂ - x₁)² + (y₂ - y₁)²) from (x₁, y₁) to (x₂, y₂) Standard Equation of a Circle - CORRECT ANSWER (x - a)² + (y - b)² = r² with centre (a, b) and radius r Factor Theorem - CORRECT ANSWER If f(p) = 0, (x - p) is a factor of f(x) Pascal's Triangle - CORRECT ANSWER The (n + 1)th row of Pascal's triangle gives the coefficients in the expansion of (a + b)ⁿ Factorial Formula - CORRECT ANSWER n! = n x (n - 1) x (n - 2) x ... x 2 x 1