Which of the quadratic functions has the narrowest graph? A. y=1/4x^2 B.y=x^2 C. y=-3x^2 DAy=1/12x^2

The narrowest graph among the given quadratic functions can be determined by looking at the coefficient of the x^2 term. The coefficient indicates the "width" of the parabola.

A. y = (1/4)x^2 --> The coefficient is positive 1/4.

B. y = x^2 --> The coefficient is positive 1.

C. y = -3x^2 --> The coefficient is negative 3.

D. y = (1/12)x^2 --> The coefficient is positive 1/12.

Comparing the coefficients, we find that option D, y = (1/12)x^2, has the narrowest graph since its coefficient is the smallest among all the given options.

To determine which quadratic function has the narrowest graph, we need to examine the coefficient of the x^2 term. The coefficient determines the shape or width of the graph.

A quadratic function in the form y = ax^2, where a is the coefficient of x^2, represents a parabola. The larger the absolute value of a, the narrower the graph will be, while a smaller absolute value of a indicates a wider graph.

Let's compare the given quadratic functions:

A. y = 1/4x^2 (coefficient of x^2: 1/4)
B. y = x^2 (coefficient of x^2: 1)
C. y = -3x^2 (coefficient of x^2: -3)
D. y = 1/12x^2 (coefficient of x^2: 1/12)

Out of the given options, the quadratic function with the absolute value of the coefficient closest to zero is option D: y = 1/12x^2.

Therefore, option D, y = 1/12x^2, has the narrowest graph among the given quadratic functions.

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