Sketch the curve $C$ with equation $9{{x}^{2}}+{{y}^{2}}=9$, indicating clearly the axial intercepts

Question

Sketch the curve $C$ with equation $9{{x}^{2}}+{{y}^{2}}=9$, indicating clearly the axial intercepts. [2] Describe a sequence of transformations which maps the curve $C$ onto the curve $D$ with equation ${{\left( x-3 \right)}^{2}}+{{y}^{2}}=1$. State the shape of the curve $D$. [3]

Accepted Answer

I: Scaling of factor 1/3 parallel to y-axis; II: Translation of 3 units in positive x-direction

2017 NJC Promo Q11

2017 NJC Promo Q11

Video Solution:

Solution:

Solution locked