Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-09
Resources
- CorbettMaths - Exponential GraphsQuestions PDF · Answers
- Dr Austin Maths - Exponential Functions and Graphs Practice StripsQuestions PDF · Answers
Terminology
- Horizontal asymptote
- Vertical translation
- Horizontal translation
- Reflection
- Dilation
- y-intercept
- Growth model
- Decay model
Task goals
- Foundation: Sketch a graph of the form $y = a \cdot b^x$ from given values of $a$ and $b$, marking the y-intercept and horizontal asymptote.
- Proficient: Apply a translation, reflection, or dilation to an exponential graph and state the resulting equation and new asymptote.
- Excellence: Given key features (asymptote, intercept, or data points) or a real-world growth/decay context, derive the equation of an exponential model and use it to justify predictions.
Where this fits
What leads into this objective, and where it goes next.
Before
Transformations of the Parabola
Parabolas: Vertical Scale Factor
Drawing parabola from given equation
You are here
Exponential Graph Transformations and Modelling
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under NA6-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.