Respuesta :

look at the coefficient of x², ignore the positive or negative sign. The larger the coefficient, the narrower the graph. 
in this case, the coefficients are -2, -1/2, -4, and 1/7
ignore the positive or negative sign, 4 is the largest number, so y=-4x² is the narrowest.

Note: the positive/negative sign tells you whether the graph opens upward or downward. It doesn't determine the width of the graph. 

The quadratic function having narrowest graph is y=-[tex]4x^{2}[/tex].

What is quadratic function?

The function which have highest power 2 of the variable x or anything like [tex]x^{2} -s x +p=0[/tex].

How to plot graph of a function?

To plot a function we need to put the value of x and the value of function comes and we have to plot these points on the  graph to get the graph of a function.

1)y=-2[tex]x^{2}[/tex]

Points (1,-2) and (2,-8)

2) y=-1/2[tex]x^{2}[/tex]

points (1,-0.5) and (-1,-0.5)

3) y=-4[tex]x^{2}[/tex]

points (1,-4) and ( 2, -16)

4)y=1/7[tex]x^{2}[/tex]

points (1,0.1) and (-1,0.1)

By plotting these points we get the following graphs and it can be concluded that the narrowest graph is y=-4[tex]x^{2}[/tex].

Learn more about graphs at https://brainly.com/question/4025726

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