Description
The graphs of 𝑓(𝑥)=-𝑥2+7𝑥+8 and 𝑔(𝑥)=-3𝑥+24 are sketched below. 𝑓 and 𝑔 intersect in 𝐷 and 𝐵. A and 𝐵 are the 𝑥 – intercepts of 𝑓.
2.1 Determine the coordinates of A and 𝐵.
2.2 Calculate 𝑎, the 𝑥-coordinate of 𝐷.
2.3 𝑆(𝑥;𝑦) is a point on the graph of 𝑓, where 𝑎≤𝑥≤8.
ST is drawn parallel to the 𝑦-axis with 𝑇 on the graph of 𝑔. Determine ST in terms of 𝑥.
2.4 Calculate the maximum length of ST
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