1 Calculate the coordinates of T. 2.2 Determine the equation for f in the form f(x) = ax2 + bx + c.

Here are the solutions to the activity:

2.1 Calculate the coordinates of T.
T is the x-intercept of the graph of $g(x) = -2x + 8$. At the x-intercept, $y=0$.

$$g(x) = 0$$ $$-2x + 8 = 0$$ $$-2x = -8$$ $$x = \frac{-8}{-2}$$ $$x = 4$$

The coordinates of T are $\boxed{(4, 0)}$.

2.2 Determine the equation for $f$ in the form $f(x) = ax^2 + bx + c$. Show ALL your working.
The turning point of $f(x)$ is $S