Topic 4 0.0 / 5 ? MathematicsGraphs and transformationsASEdexcel Created by: Jemma1494Created on: 02-06-21 15:10 Cubic graph y = ax^3 + bx^2 + cx + d Three roots Positive starts from bottom left 1 of 9 Quartic graph y = ax^4 + bx^3 + cx^2 + dx + e Four roots Positive starts from top left 2 of 9 Reciprocal graph y = k/x Doesn’t touch the x axis Asymptote Positive in top right and bottom left quadrants Negative in top left and bottom right quadrants 3 of 9 Reciprocal graph with square value y = k/x^2 Positive in top quadrants Negative in bottom quadrants 4 of 9 Rules for numerator of reciprocal graph Larger numerator = further away from x axis 5 of 9 Translations left and right y = f(x+a) is a translation of -a in the x axis to the left y = f(x-a) is a translation of a in the x axis to the right 6 of 9 Translations up and down y = f(x) + a is a translation of a in the y axis up y = f(x) - a is a translation of -a in the y axis down 7 of 9 Enlarging translations y = af(x) is an enlargement of a in the y axis y = f(ax) is an enlargement of 1/a in the x axis 8 of 9 Reflecting translations y = -f(x) is a reflection in the x axis y = f(-x) is a reflection in the y axis 9 of 9
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