Question

Which of the quadratic functions has the narrowest graph?

Answer 1

B. y=2/5x2. Hope this helps.

Answer 2

Answer:

The quadratic functions which has the narrowest graph is:

           $y=-10x^2$

Step-by-step explanation:

For any quadratic function of the type:

           $y=ax^2+bx+c$

if the modulus of a is the highest then the graph is narrowest.

and if modulus of a is smallest then the graph is widest.

a)

$y=-10x^2$

i.e.

$a=-10\\\\i.e.\\\\|a|=10$

b)

$y=\dfrac{2}{5}x^2$

i.e.

$a=\dfrac{2}{5}$

$|a|=\dfrac{2}{5}=0.4$

c)

$y=9x^2$

i.e.

$a=9$

i.e.

$|a|=9$

d)

$y=-0.9x^2$

i.e.

$a=-0.9$

i.e.

$|a|=0.9$

Since,

$|a|=10$ is highest for the equation $y=-10x^2$.

                  Hence, it has the narrowest graph.