15 point hurry
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = two-thirds x squared + 3
a.
a = 0, b = two-thirds, c = 3
b.
a = two-thirds, b = 0, c = 3
c.
a = 0, b = 3, c = two-thirds
d.
a = two-thirds, b = two-thirds, c = 3

Respuesta :

Given:

[tex]y=\dfrac{2}{3}x^2+3[/tex]

This equation is in the form [tex]y=ax^2+bx+c[/tex].

To find:

The values of a, b and c.

Solution:

We have,

[tex]y=\dfrac{2}{3}x^2+3[/tex]

It can be written as

[tex]y=\dfrac{2}{3}x^2+(0)b+3[/tex]

On comparing this equation with [tex]y=ax^2+bx+c[/tex], we get

[tex]a=\dfrac{2}{3},b=0,c=3[/tex]

Therefore, the correct option is b.

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