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Q5) (a) On the same set of axes plot the graphs, in intervals of 0.5, of y₁ = 2 x² - 3x - 5 in the range - 1  ≤ x  ≤ 3.5 and y₂ = 5 - (2 - x)² in the range - 1 ≤ x  ≤ 4.5.               (12)

Suggested scale: horizontal axis 2 cm = 1

Vertical axis 1 cm = 1

(b) Using the graphs plotted in Q(5), solve the system of equations:

y = 2 x² - 3x - 5

y = 5 - (2 - x)² (4)