A landscape architect is designing a water feature for a park. The water jet’s trajectory can be modeled using different functions depending on the desired effect.
a. The architect initially models the water jet’s height, $h(x)$ (in meters), as a function of horizontal distance, $x$ (in meters), using a quadratic function: $h(x) = -0.1(x-2)^2 + 1.6$. State the transformations that have been applied to the basic function $y=x^2$ to obtain $h(x)$.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 marks, testing your understanding of Modelling with Functions. It falls under Functions, relations and graphs in Unit 4: Mathematical Methods Unit 4. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Continues the study of functions, algebra, calculus, and introduces probability and statistics.
Covers transformations, polynomial functions, power functions, exponential functions, logarithmic functions, circular functions, and combinations of these.
modelling of practical situations using polynomial, power, circular, exponential and logarithmic functions, simple transformation and combinations of these functions, including simple piecewise (hybrid) functions.
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