Respuesta :
Answer:
The quadratic functions which has the narrowest graph is:
[tex]y=-10x^2[/tex]
Step-by-step explanation:
For any quadratic function of the type:
[tex]y=ax^2+bx+c[/tex]
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)
[tex]y=-10x^2[/tex]
i.e.
[tex]a=-10\\\\i.e.\\\\|a|=10[/tex]
b)
[tex]y=\dfrac{2}{5}x^2[/tex]
i.e.
[tex]a=\dfrac{2}{5}[/tex]
[tex]|a|=\dfrac{2}{5}=0.4[/tex]
c)
[tex]y=9x^2[/tex]
i.e.
[tex]a=9[/tex]
i.e.
[tex]|a|=9[/tex]
d)
[tex]y=-0.9x^2[/tex]
i.e.
[tex]a=-0.9[/tex]
i.e.
[tex]|a|=0.9[/tex]
Since,
[tex]|a|=10[/tex] is highest for the equation [tex]y=-10x^2[/tex].
Hence, it has the narrowest graph.
