Mathematics 4024 · O Level · Graphs of functions

Graphs of functions — practice question

(a)[2]

Complete the value table for $y = 4 + 2x - \frac{x^2}{2}$.

(b)[3]

Draw the graph for $y = 4 + 2x - \frac{x^2}{2}$ over $-2 \le x \le 6$.

(c)[1]

Find the equation for the line of symmetry of the graph of $y = 4 + 2x - \frac{x^2}{2}$.

(d)[2]

On the grid, draw the line $3y = x + 6$ across $-2 \le x \le 6$.

(e)[1]

Write down the $x$-coordinates of the intersection points of the graphs of $y = 4 + 2x - \frac{x^2}{2}$ and $3y = x + 6$.

Worked solution & mark scheme

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