Write the equation of the function whose graph is shown. What is the equation?

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Answer 1 · 2017-07-01T03:37:37

#y = (x-5)^2 + 3#

This graph is a parabola.

We can see that the vertex is given: it is #(5,3)#.

The vertex form of a parabola with vertex #(h,k)# looks like this:

#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 #a#:

#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