The variables $x$ and $y$ are connected by the equation $y = x^2 - x - 6$. Some corresponding

Question

The variables $x$ and $y$ are connected by the equation $y = x^2 - x - 6$. Some corresponding values of $x$ and $y$ are given in the table below. $x$$-3$$-2$$-1$$0$$1$$2$$3$$4$ $y$$6$$0$$-4$$-6$$-6$$-4$$0$$6$ Draw the graph of $y = x^2 - x - 6$. Using a scale of $2$ cm to represent $1$ unit, draw a horizontal $x$-axis for $-3 \leq x \leq 4$. Using a scale of $1$ cm to represent $1$ unit, draw a vertical $y$-axis for $-8 \leq y \leq 6$. On your axes, plot the points given in the table and join them with a smooth curve.[3] Use your graph to find the minimum value of $y$.[1] the equation of the line of symmetry.[1]

Accepted Answer

(a) Graph shown in working (b)(i) $y\approx-6.25$ (ii) $x=0.5$

HIHS 2EM WA3 2020 Q5

HIHS 2EM WA3 2020 Q5

Solution:

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