By using one of the given points and solving an equation, we will see that the constant is z = 5.
How to find the value of Z?
We know that the quadratic function is:
f(x) = x^2 - 6x + z
And we know that the vertex is (3, -4), this means that:
f(3) = -4
Replacing that in the function, we get:
-4 = 3^2 - 6*3 + z
Now we solve that for z:
-4 = 9 - 18 + z
-4 = -9 + z
-4 + 9 = z = 5
So we conclude that z = 5
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
