Mathematical Methods Q4 – Function Transformations | VCE Units 3 & 4 Practice – StudyPulse
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Mathematical Methods VCE Units 3 & 4 Practice Question 4 – Function Transformations

Q4 Mathematical Methods Function Transformations Unit 4 - AOS 1

Question 4

5 marks

The graph of $y = e^x$ is subjected to the following two transformations sequentially:

  1. A dilation from the $y$-axis by a factor of $\frac{1}{2}$.
  2. A reflection in the line $y = x$.

Determine the equation of the final transformed graph and analyse the effect of these transformations on the domain and range of the original function.

Your Answer

0 words

About This Mathematical Methods Question

This is a free VCE Units 3 & 4 Mathematical Methods practice question worth 5 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.

Subject
Mathematical Methods – Victorian Certificate of Education Units 3 & 4
Unit 4
Mathematical Methods Unit 4
Area of Study 1
Functions, relations and graphs
Key Knowledge
Function Transformations

Unit 4 Overview

Continues the study of functions, algebra, calculus, and introduces probability and statistics.

Functions, relations and graphs

Covers transformations, polynomial functions, power functions, exponential functions, logarithmic functions, circular functions, and combinations of these.

Key Knowledge Detail

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

More questions on Function Transformations

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  1. Written 3 marks

    The graph of $y = f(x)$ is transformed to $y = 2f(x-1) + 3$. State the transformations that have occurred, in order.

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