Answer:
i: the domain.
iii: the axis of symmetry.
Step-by-step explanation:
We have the function:
f(x) = x^2
The domain of this function is the set of all real numbers, and the range is:
R: [0, ∞)
(because 0 is the minimum of x^2)
Now we have the transformation:
d(x) = f(x) + 9 = x^2 + 9
Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.
Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.
And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:
d(0) = 0^2 + 9 = 9
Then the range is:
R: [9, ∞)
Then the range changes.
So we can conclude that the attributes that will be the same for f(x) and d(x) are:
i: the domain.
iii: the axis of symmetry.
It’d be a binomial because there are two different terms (a and b)
The answer is 333.423 hope this helps u
Answer:
Dennis need 288.91 square inches of construction paper for his project.
Step-by-step explanation:
Dennis is cutting construction paper into rectangles for a project.
He needs to cut one rectangle that is 12 inches times 15 1/4 inches
First convert the mixed fraction to improper fraction
So the area of 1st rectangle is
He needs to cut another rectangle that is 10 1/3"" x 10 1/4""
The symbol " means inches
First convert the mixed fraction to improper fraction
So the area of 2nd rectangle is
The total construction paper needed for this project is
Therefore, Dennis need 288.91 square inches of construction paper for his project.