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

y=-4.5x^2

y=-x^2

Answer with explanation:

The given three Quadratic function are

1. ⇒ y=6 x²

2. ⇒y = -4.5 x²

3.⇒y = -x²

In curve 1,Curve 2, and Curve 3, the stretch factor are , respectively.

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:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.