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

Question

Answer the whole of this question on a sheet of graph paper. The variables $x$ and $y$ are connected by the equation $y=\frac{1}{2}(2-x)(5+x)$. The table below shows some values of $x$ and the corresponding values of $y$. $x$ $-5$ $-4$ $-3$ $-2$ $-1$ $0$ $1$ $2$ $3$ $y$ $0$ $3$ $p$ $6$ $6$ $5$ $3$ $0$ $-4$ Find the value of $p$. Using a scale of $2$ cm to 1 unit on each axis, draw the graph of the equation$y=\frac{1}{2}(2-x)(5+x)$ for $-5\le x\le 3$. Hence, use your graph to solve the equation $(2-x)(5+x)=8$.

Accepted Answer

(a) $p=5$ (b) Graph shown in working (c) $x\approx-3.56$ or $0.56$

Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations Graphically

Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations Graphically

Solution:

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