Question

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

Answer 1

Answer:

D. $g(x)=(x+4)^{2}-3$

Step-by-step 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.