HSC Together Year 12 Maths Advanced: Transformations of Absolute Value Functions

• Functions
• Trigonometric Functions
• Calculus
• Financial Mathematics
• Statistical Analysis
• Back to other subjects
Back to other subjects

# Transformations of Absolute Value Functions

This is part of the HSC Mathematics Advanced course under the topic Functions and sub-part Graphing Techniques.

In this post, we apply transformations to sketch functions of the form y=kf(a(x+b))+c ,  where f(x) is a polynomial, reciprocal, absolute value, exponential or logarithmic function and a,b,c and k are constants:

• Examine translations and the graphs of y=f(x)+c and y=f(x+b) using technology
• Examine dilations and the graphs of y=kf(x) and y=f(ax) using technology
• Recognise that the order in which transformations are applied is important in the construction of the resulting function or graph

Now, here is an example question on how to solve absolute value equations and inequalities and how to graph an absolute value function.

### 45,861 students have a head start...

Get exclusive HSC content & advice from our team of experts delivered weekly to your inbox!

## Here’s how we help...

### Holistic K-12 Tutoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Comprehensive Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Study, Uni, Career Mentoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Senior School Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

## 45,861 students have a head start...

Get exclusive study content & advice from our team of experts delivered weekly to your inbox!