The function pictured has the form of y=k(x^2)
(the left and right side are going up on a quadratic fnction and y goes to 6 and x goes to 6
. What is the value of k
?
The value of k can be determined by plugging in the given values of y and x into the equation y = k(x^2).
Since y goes to 6 and x goes to 6, we have:
6 = k(6^2)
Simplifying the equation:
6 = k(36)
Dividing both sides by 36:
6/36 = k
Simplifying further:
1/6 = k
Therefore, the value of k is 1/6.
Based on the given information, we know that the function is in the form of y = k(x^2). We can use the point (6, 6) on the graph of the function to find the value of k.
Substituting the coordinates (6, 6) into the equation, we have:
6 = k(6^2)
6 = k(36)
To solve for k, divide both sides of the equation by 36:
k = 6/36
Simplifying the fraction:
k = 1/6
Therefore, the value of k is 1/6.
To find the value of k in the given quadratic function y = k(x^2), we need to use the information given in the question.
From the question, we know that as x goes to 6, y also goes to 6. This means that at x = 6, y = 6.
Substituting these values into our quadratic function, we can write the equation as follows:
6 = k(6^2)
Simplifying further:
6 = k * 36
Now we need to solve for k.
Dividing both sides of the equation by 36, we get:
k = 6/36
Simplifying further:
k = 1/6
Therefore, the value of k is 1/6 or approximately 0.1667.