Question

The graphs below have the same shape. What is the equation of the blue graph?​

Answer 1

D.
`g(x)=(x+4)^(2)-3`

Explanation:

g(x) is a translated function. Compared to the parent function, f(x)=
`x^(2)`, it has been shifted 4 left and 3 down. The rule for quadratic functions is
`y=a(x-h)^(2) +k`, where h is the x-translation (horizontal) and k is the y-translation (vertical). In g(x) h=-4 and k=-3. While it might seem like h is positive, remember that since in rule it is being subtracted it must be negative.