Question

Determine the equation of the graph and select the correct answer below.

y = (x + 1)2 + 3

y = (x + 1)2 − 3

y = (x − 1)2 − 3

y = (x − 1)2 + 3

Answer 1

Using vertex form we can translate the graph of x^2 where we want it. In this case, the parent function of the quadratic equation has been moved right one and three down. We can use the vertex form of a parabola to find the correct equation:

`y = a(x-h)^2+k`
where (x,h) is the vertex.
Subbing in the points, we can find that the equation of the parabola is :

`y = (x-1)^2-3`