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Higher November 2023 Paper 1 Q13

EduqasHigherCurrent spec5 marksCompleting the SquareLinear Graphs & Gradients

13.

(a) Show that the lines \[3y - 12x = 9 \quad\text{and}\quad 2y = 8x - 13\] are parallel to each other. [3]
(b) The diagram shows the curve \(y = 5 - 4x - x^2\).
Sketch of the curve y = 5 - 4x - x squared, a downward parabola crossing the x-axis at -5 and 1 and the y-axis at 5
Calculate the coordinates of the turning point of the curve. [2]