Question

PLEASE HELP ME QUICK
A serving dish has a parabolic surface with the vertex (0, 0) at the center of the dish. When the width of the dish is 6 inches, the depth of the dish is 3 inches. The equation that models the shape of the serving dish is y = ax2. What is the value of a?

1/12
1/3
1/2
1

Answer 1

Answer:

B

Step-by-step explanation:

1/3

Answer 2

The required value of a is 1/3 for parabola $y = 1/3x^2$.

A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.

What is a parabola?

A parabola is a cross-section cut out of the cone and represented by an equation $y=4ax^2$.

Here,  
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²  
3 = a3²
a = 3/3²
a = 1/3

Thus, The required value of a is 1/3 for the parabola $y = 1/3x^2$.

Learn more about parabola here:

brainly.com/question/4074088

#SPJ5