Question

In the form f(x)=a(x-h)^2+k

Answer 1

Vertex is (h,k)
se see vertex is (1,-4)
y=a(x-1)^2-4
find a
another point is (4,-2)

-2=a(4-1)^2-4
-2=a(3)^2-4
-2=9a-4
add 4
2=9a
divide b 9
2/9=a


$f(x)= \frac{2}{9}(x-1)^2-4$