The graph shows the relationship between the distance a spring stretches in meters, and the force applied in Newtons. Write a quadratic equation in the form y=ax2

Question

that represents this situation.

(1 point)
Responses

y=4x2
y is equal to 4 x squared

y=2x2
y is equal to 2 x squared

y=x2
y is equal to x squared

y=12x2

Answer 1

To determine which quadratic equation represents the relationship between the distance a spring stretches (x) and the force applied (y), we need to identify the coefficient \( a \) in the quadratic equation \( y = ax^2 \) based on the graph or given data points.

If we assume that the graph shows a direct quadratic relationship with specific data, we would apply the values from the graph to see which option fits.

However, since you have provided multiple options without the graph or specific data points, it’s impossible to definitively choose one without additional context. Typically, you could verify each equation by checking points on the graph.

If you can provide specific data points or characteristics from the graph, I could help you determine which equation fits best! Otherwise, based on standard physics and material behavior, if we had a standard spring equation, we might expect one of these values based on common spring constants.