Non-linear Relationships B

numberandalgebra core

Non-linear relationships B | NSW Curriculum Website

• MA5-NLI-C-02 identifies and compares features of parabolas and exponential curves in various contexts

📖 Prior Knowledge

Content	Prerequisite relationships
Non-linear Relationships A	- Identify parabolas and exponential curves → Graph parabolas and identify their features - Identify parabolas and exponential curves → Graph exponentials and identify their features

Graph and examine quadratic relationships.pdf

• Graph and compare parabolas of the form $y=k{x}^2$ and $y=k{x}^2+c$ using graphing applications
• Identify and describe the key features of parabolas of the form $y=k{x}^2$ and $y=k{x}^2+c$ including the vertex, $x$- and $y$-intercepts, axis of symmetry and concavity

Graph and examine exponential relationships.pdf

• Graph and compare exponential curves of the form $y=a^x$ using graphing applications
• Describe features of exponential curves including the $x$-intercept, asymptote and the nature of the curve for very large and very small values of $x$

Distinguish between linear, quadratic and exponential relationships by examining their graphical representations.pdf

• Associate graphs of straight lines, parabolas and exponential curves with the appropriate equations
• Recognise non-linear relationships in real-life contexts and solve related problems
• Use graphing applications to solve a pair of simultaneous equations where one equation is non-linear and interpret the solution