Question

The graph below have the same shape. what is the equation of the blue graph

Answer 1

your answer is going to be letter B. the minimum point is in a negative spot so that cancels out A and D. the inside of the parabola is pointing up so that makes the answer B.  

Answer 2

Option: B is the correct answer.

The equation of blue graph is:

B.
`y=(x+4)^2-3`

Explanation:

We could clearly observe from the graph that the vertex of the blue graph is:

(-4,-3)

Also from the figure we could see that the parabola is a upward open parabola.Hence, the general equation of an upward open parabola is given by:

`y=a(x-h)^2+k`

where (h,k) denote the vertex of the parabola.

Hence, we have: (h,k)=(-4,-3)

i.e. h= -4 and k= -3

Hence, the equation of blue graph is:

`y=(x-(-4))^2-3\\\\y=(x+4)^2-3`