Maths Edexcel As Paper 1 Pure Answers 2023

HYPERLINK "https://www.stuvia.com/en-gb/doc/2952602/maths-edexcel-as-paper-1-pure-answers-2023" \o "Maths Edexcel AS paper 1 pure answers 2023" Maths edexcel as paper 1 Quadratic FormulaDomainThe set of possible inputs for a function.RangeThe set of possible outputs of a function.Discriminantb² - 4ac > 0 then two distinct real roots.b² - 4ac = 0 then one repeated real root.b² - 4ac < 0 then a quadratic function has no real roots.Types of Lines for RegionsIf y < f(x) or y > f(x) then the curve y = f(x) is not included in the region, and is represented by a dotted line.If y ≤ f(x) or y ≥ f(x) then the curve y = f(x) is included in the region, and is represented by a solid line.Graph Translationsy = 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 Stretchesy = 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