The function pictured has the form of y=k(x^2)
. What is the value of k
? (image is a quadratic function with both sides going up along sectiontss 1 and two of the graph)
2
-2
4
4
0
0
0.2
The correct value of k is 4.
To find the value of k in the function y = k(x^2), we can use the given graph.
In the graph, we can see that the quadratic curve opens upwards, which means that k should be positive. Therefore, we can eliminate the option of k=-2.
Now, we need to find the specific value of k. The value of k determines the steepness or flatness of the curve. By observing the shape of the curve, we can see that it is relatively steep, indicating that k should be a larger value.
From the given options, the choices are 2, 4, and 0.2.
Looking at the graph, it seems that the curve is not as flat as it would be with k=0.2.
Between 2 and 4, we can observe that the curve is closer to the shape of the curve when k=4. Therefore, the most suitable value for k in this case is 4.
So, the value of k for the function y = k(x^2) is 4.
To find the value of k in the function y = k(x^2), we need some additional information or data to determine the exact value.
However, by looking at the graph, we can make some observations. The graph of a quadratic function y = k(x^2) is a parabola. In this case, the branching or opening of the parabola is both upward in sections 1 and 2.
The upward opening of the parabola tells us that the coefficient of x^2, which is k, must be positive. This eliminates the first two answer choices of 2 and -2 since they are negative values.
Next, we can compare the graph to the remaining answer choices. In sections 1 and 2, the graph appears to have wider and steeper branches compared to a standard quadratic. This indicates that the value of k is greater than 1, ruling out the answer choice of 0.
Based on this analysis, the most likely answer choice is 4. However, without additional information or data, we cannot determine the exact value of k.