Answer:
Part 1)
----->
Part 2)
----> 
Part 3)
----> All real numbers
Part 4)
----> 
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is

Part 2) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is

Part 3) we have

Applying the distributive property

This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have

we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero

Remember that

(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is

Answer:
7/10
Step-by-step explanation:
Get a common denominator
1 - 3/10
10/10 - 3/10
7/10
Answer:
The parabola is translated down 2 units.
Step-by-step explanation:
You have the parabola f(x) = 2x² – 5x + 3
To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:
f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1 <u><em>Expresion A</em></u>
The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.
- If p> 0 and q> 0, the parabola shifts p units to the right and q units up.
- If p> 0 and q <0, the parabola shifts p units to the right and q units down.
- If p <0 and q> 0, the parabola shifts p units to the left and q units up.
- If p <0 and q <0, the parabola shifts p units to the left and q units down.
In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.
This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.
In conclusion, <u><em>the parabola is translated down 2 units.</em></u>
Answer:
There are no specified Numbers provided
Step-by-step explanation: