Answer with explanation:
The given three Quadratic function are
1. ⇒ y=6 x²
[tex]x^2=\frac{y}{6}[/tex]
2. ⇒y = -4.5 x²
[tex]x^2=\frac{-y}{4.5}[/tex]
3.⇒y = -x²
[tex]x^2=\frac{-y}{1}[/tex]
In curve 1,Curve 2, and Curve 3, the stretch factor are , [tex]\frac{1}{6},\frac{1}{4.5}, \text{and} 1[/tex] respectively.
[tex]\frac{1}{6}<\frac{1}{4.5}< 1[/tex]
All the three function represent the curve parabola, having vertex at the origin(0,0).
So, order of quadratic functions from widest to narrowest is:
[tex]1.\rightarrow y= -x^2\\\\2.\rightarrow y = -4.5 x^2\\\\3.\rightarrow y=6 x^2[/tex]
