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 $y=-{{x}^{2}}+2x+5$ for $-3\le x\le 5$ Some corresponding values of $x$ and $y$ are given in the table below. $x$ $-3$ $-2$ $-1$ $0$ $1$ $2$ $3$ $4$ $5$ $y$ $-10$ $-3$ $2$ $5$ $p$ $5$ $2$ $-3$ $-10$ Calculate the value of $p$. Using a scale of 2 cm to 1 unit, draw a horizontal $x$-axis for $-3\le x\le 5$ and using a scale of 1 cm to 1 unit, draw a vertical $y$-axis $-10\le y\le 6$. On your axes, plot the points given in the table and join them smoothly. Use your graph to find the value of $y$ when $x=4.5$. Use your graph to find the solutions of the equation $-{{x}^{2}}+2x+5=0$.

Accepted Answer

(a) $p=6$ (b) Graph shown in working (c) $y\approx-6.3$ (d) $x\approx-1.45$ or $3.45$

Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations Graphically

Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations Graphically

Solution:

Solution locked