Answer:
A
Step-by-step explanation:
To write the equation of the line. first calculate the slope using the slope formula.

Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0
F(2) is same thing as saying x =2
So just plug in 2 for x and solve for x
3*(2)^3 - 12*(2)^2 =
3*8 - 12*4 =
24-48 =
-24
D
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.
Remember that a reciprocal are when you switch the numerator and denominator, like they trade spots so the reciprocal is 3/11