Because the function is parabolic, it will have the form
y = a(x-h)² + k
where (h,k) is the vertex
Because the turning point (the vertex) is at (-1, 3), therefore
h = 1, k =3.
The function becomes
y = a(x+1)² + 3
Because the curve passes through (0, 2), therefore
a(0+1)² + 3 = 2
a + 3 = 2
a = -1
Answer:
The function is
y = -(x+1)² + 3
The graphed function is shown below.
