Question

Order the quadratic functions from widest to narrowest graph. y=4x^2 y=2x^2 y= 0.15x^2

Answer 1

ANSWER


`y=0.15x^2, y=2x^2,y=4x^2`

Step-by-step explanation

The given quadratic functions are;


`y = 4 {x}^(2)`

`y = 2 {x}^(2)`
and


`y = 0.15 {x}^(2)`

A fractional coefficient indicates a horizontal stretch.

The smaller the coefficient, the wider the stretch for

`|a| < 1`
and


`a \\e0`

Also

`|a| > 1`
indicates a horizontal compression.

The higher the value the narrower the graph.


Therefore from widest to narrowest, we have,


`y=0.15x^2, y=2x^2,y=4x^2`

See graph.