Answer:
Option A f(x) = a(x - 2)^2 + 5
Step-by-step explanation:
Vertex Form : y = a(x-h)^2 + k
In this case, we don't need the a-term because we are only looking for the vertex.
The h-term is how this parabola moved horizontally.
Since the x value is 2, that means that the graph moved 2 spaces towards the right. We plug it in to get:
y = (x - 2)^2
Now we need to find the k value. We see that the vertex is (2,5), and the y-value is 5. That means that the graph moved up to 5 units. Now we plug 5 into the k-value, and this is what we get:
y = (x - 2)^2 + 5
Walah! We're done with the equation, and as we can see, the answer is option A!
