Answer:
d)
Step-by-step explanation:
Our parent function is
and the translated function is
As we have 2 as constant added to the parent function , the parent function is going to shift up. . Hence option b) and c) are certainly not the answer.
Now we also see that we have added 1 to the x in the parent function while translating , hence new function is going to be lagging behind the from the parent function as reaches the same y , 1 unit before the original function. Hence the option d) graph is our right answer.
When the bases are the same, you can combine the exponents.
x³ [x is where the base is]
For example:
x³ · y² = x³y² You can't simplify this anymore because they have different bases/variables
[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:
x² · x³ =
[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:
(x³)²=