The variables $x$ and $y$ are connected by the equation $y=-{{x}^{2}}+3x-1$ Some corresponding

Question

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

Accepted Answer

(a) $p=1$. (b) Vertex $(1.5,1.25)$, parabola opening downwards. (c) $x\approx-0.3$ or $3.3$.

Graphing a Quadratic Function

Graphing a Quadratic Function

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