Write the equation of the function whose graph is shown. What is the equation?
1 Answer
Jul 1, 2017
Explanation:
This graph is a parabola.
We can see that the vertex is given: it is
The vertex form of a parabola with vertex
#y = a(x-h)^2+k#
So in this case, we know that our formula will look like this:
#y = a(x-5)^2+3#
Now, we can plug in the other point we were given and solve for
#12 = a(8-5)^2+3#
#9 = a(3)^2#
#9 = 9a#
#1 = a#
Therefore, the equation for the parabola looks like this:
#y = (x-5)^2 + 3#
Final Answer