Shapes of Graphs Practice Questions

Write down the coordinates of the minimum point of the curve.

Write down the equation of the line of symmetry of the curve.

Circle the coordinates of the point where the curve crosses the $y$-axis.

• $(0, -8)$
• $(0, 24)$
• $(-24, 0)$
• $(0, -24)$

Write down the $x$-coordinates of the two points where the curve crosses the $x$-axis.

Sketch the graph of $y = x^2 - 2x - 8$

Label clearly the coordinates of the points where the curve crosses the axes.

Draw the graph of $y = f(x)$ for $-2 \leq x \leq 5$ on the grid below.

Work out the value of $a$ and the value of $b$.

On the axes above, sketch the graph of $y = 4 \times 3^{-x}$

A point on the curve $y = 768 \times 2^{-x}$ has $y$-coordinate $12$.

Work out the $x$-coordinate of this point.

The two curves intersect at the point $T$.

Work out the coordinates of $T$.

Tick one box for each statement.

By drawing a suitable straight line, work out approximate solutions to $2x^2 + 3x - 9 = 0$