Answer:
Q(x) = [tex](x+3)^{2}+5[/tex] is the final equation.
Step-by-step explanation:
By translation of the graph 3 units upward direction, it means that the y-value of the function is increased by 3 unit at each value of x.
Given , P(x) = [tex](x+3)^{2}+2[/tex]
We can actually translate the graph in any direction, and for that we have to make the necessary changes. If we translate the graph in the positive x direction, then we have to substitute (x - 3) instead of x in the equation.
Since we are translating the graph upwards ,
Q(x) = [tex](x+3)^{2}+2[/tex] + 3
Q(x) = [tex](x+3)^{2}+5[/tex]
This is the final equation of the graph after translation.
