A weather balloon is launched, and its altitude above sea level (in meters) can be modeled by the function $h(t)$, where $t$ is the time in minutes since launch. Due to unforeseen atmospheric conditions, the function modeling the balloon’s altitude needs to be adjusted. A new function, $g(t)$, is created by transforming $h(t)$.
a. The altitude readings suggest the balloon’s ascent is consistently 15% slower than initially predicted by $h(t)$. Describe the transformation that needs to be applied to $h(t)$ to account for this slower ascent, and write the resulting function in terms of $h(t)$.
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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 Function Transformations. 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.
transformation from $y=f(x)$ to $y=A f(n(x+b))+c$, where $A, n, b$ and $c \in R, A, n \neq 0$, and $f$ is one of the functions specified above, and the inverse transformation
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