Answer the whole of this question on a single sheet of graph paper. The variables $x$ and $y$ ar

Question

Answer the whole of this question on a single sheet of graph paper. The variables $x$ and $y$ are connected by the equation $y=2{{x}^{2}}-x-5$ Some corresponding values of $x$ and $y$ are given in the table below. $x$ $-2$ $-1$ $0$ $1$ $2$ $3$ $y$ $5$ $a$ $-5$ $-4$ $1$ $10$ Calculate the value of $a$. Using a scale of 2 cm to 1 unit, draw a horizontal $x$-axis for $-2\le x\le 3$ and a scale of 1 cm to 1 unit, draw a vertical $y$-axis $-5\le y\le 10$. On your axes, plot the points given in the table and join them smoothly. Use your graph to find the solutions of the equation $2{{x}^{2}}-x-5=0$.

Accepted Answer

(a) a = -2; (c) x = -1.35 or 1.85.

Quadratic Graphs

Quadratic Graphs

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