Question

Order the group of quadratic functions from widest to narrowest graph. y= -4x2, y = -3x2, y = -5x2

Answer 1

Answer:

To easily find this solution, we can easily use a graphing tool or a calculator, and compare the behaviour of each graph.

Please se attached picture for more information.

Based on the picture, we can see that

The widest graph corresponds to y = -3x^2

The narrowest graph corresponds to y = -5x^2

Widest to narrowest

y = -3x^2

y= -4x^2

y= -5x^2

Answer 2

Answer:

$y=-3x^2,y=-4x^2,y=-5x^2$

Step-by-step explanation:

The parabola $y=-ax^2$ opens downwards.

The absolute value of $a$ is used to determine how wide or narrow the graph is.

The larger the absolute value of $a$, the narrower the graph.

The given functions are

$y=-4x^2$, $y=-3x^2$ and $y=-5x^2$.

$|-4|=4$

$|-3|=3$

$|-5|=5$

Since, 3<4<5,the order of the given quadratic functions from widest to narrowest is

$y=-3x^2,y=-4x^2,y=-5x^2$