A roller coaster engineer uses a polynomial function h(x)h(x)h(x) to model the height, in decametres, of a section of track relative to a horizontal distance xxx.
The function h(x)h(x)h(x) is defined for all x∈Rx \in \mathbb{R}x∈R. The profile of the track has the following features:
On separate diagrams, sketch the curve with the following transformed equations:
y=0.5h(x+2)y = 0.5h(x + 2)y=0.5h(x+2)
On each sketch, show clearly the coordinates of:
y=h(2x)−5y = h(2x) - 5y=h(2x)−5
On each sketch, show clearly the coordinates of:
