Algebra A Unit 5 Sample Work DUE 10/2

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Question
The function pictured has the form of y=k(x^2)
. What is the value of k
?

In order to determine the value of k, we need to use the given information about the form of the function y=k(x^2).

From the given form, we can see that the function is in the form of a quadratic equation. By comparing it to the general form of a quadratic equation y=ax^2+bx+c, we can determine that the coefficient of x^2 is k.

Since we have y=k(x^2), the coefficient of x^2 is indeed k. Therefore, the value of k is the coefficient of x^2.

Unfortunately, without a specific graph or equation provided, we cannot determine the exact value of k.

To find the value of k in the function y = k(x^2), we can use a point from the graph and its coordinates.

Given that the graph has the form of y = k(x^2), we can look for a point on the graph with known coordinates.

Let's take a point on the graph such as (2, 8), where x = 2 and y = 8.

Substituting these values into the equation y = k(x^2) gives us:

8 = k(2^2)

Simplifying further:

8 = k(4)

Dividing both sides of the equation by 4:

2 = k

Therefore, the value of k in the function y = k(x^2) is 2.

To find the value of k in the function y = k(x^2), we need to use the given information from the picture or problem statement. However, as an AI text-based bot, I cannot see the picture or access any specific problem statement.

To solve for the value of k, you can use any specific data or points given in the problem. Usually, to find the value of k, you need at least one point on the graph of the function. Once you have a point, you can substitute the values of x and y into the equation and solve for k.

For example, if you have a point (x1, y1), you can substitute these values into the equation y = k(x^2) to get:

y1 = k(x1^2)

Then, you can solve for k by dividing both sides of the equation by (x1^2):

k = y1 / (x1^2)

Without specific information, I'm unable to provide an exact value for k.