Find the quadratic function that has a vertex at (−2,1) and goes through the point (−1,−1).

Question

Find the quadratic function that has a vertex at (-2,1) and goes through the point (-1,-1)

F(X)=

Answer 1

This equation will be in the following form

y=a(x-h)²+k Where (h,k) is the vertex. Start by plugging in the vertex values

y=a(x-(-2))²+1 Simplify

y=a(x+2)²+1 Next, plug in the x and y values, solve for a

-1=a(-1+2)²+1 Simplify

-1=a(1)²+1

-1=a+1 Subtract 1 from both sides

-2=a

The final equation is

y=-2(x+2)²+1