Question

Order the group of quadratic functions from widest to narrowest graph. y=6x^2

Answer 1

Answer with explanation:

The given three Quadratic function are

1. ⇒ y=6 x²

$x^2=\frac{y}{6}$

2. ⇒y = -4.5 x²

$x^2=\frac{-y}{4.5}$

3.⇒y = -x²

$x^2=\frac{-y}{1}$

In curve 1,Curve 2, and Curve 3, the stretch factor are , $\frac{1}{6},\frac{1}{4.5}, \text{and} 1$ respectively.

$\frac{1}{6}$

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:

 $1.\rightarrow y= -x^2\\\\2.\rightarrow y = -4.5 x^2\\\\3.\rightarrow y=6 x^2$

Answer 2

Stretches are by the number in front of the x^2 hence the widest is least stretched (-x^2), then -4.5x^2 and lastly 6x^2