Question

In the xy-plane, the point (2,5) lies on the graph of the function f. If f(x) = k – x², where k is a constant, what is the value of k ?​

Answer 1

To find the value of k, substitute the given point (2,5) into the function f(x) = k - x² and solve for k. The value of k is 9.

Step-by-step explanation:

To find the value of k, we need to substitute the given point (2,5) into the function f(x) = k - x². This will give us an equation to solve for k.

Substituting x = 2 and f(x) = 5 into the function, we have:

5 = k - 2²

Simplifying, we get:

5 = k - 4

Adding 4 to both sides of the equation, we have:

k = 9

Therefore, the value of k is 9.