Answer: FIRST OPTION.
Step-by-step explanation:
For this exercise it is important to remember a property called "Quotient of Powers property".
By definition the Quotient of Powers property states the following:

You can observe the division of
and
. Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".
In this case, you have the following expression given in the exercise:

Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.
Therefore, you get the following result:

You can notice that it matches with the first option.
Answer: x = 6
NS = 8.5
Step-by-step explanation:
JK = KL= KP + LP
26 = 13 + 2x + 1
2x = 12
x = 6
NS = PS
PS = 8.5
NS = 8.5
When you write terms in denominator on numerator, sign of indices changes.
It is an enlargement because the scale factor is 2 and a half
For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2