Answer: The correct option is (A). 
Step-by-step explanation: Given that the equation of the quadratic parent function is

We are to find the equation of the new function after shifting the parent function (i) 12 units left.
Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.
And the x co-ordinate becomes (x+12).
Therefore, the equation of the new function will be

Thus, the required equation of the new function is 
Option (A) is correct.
The exponential function is given by 
<h3>
Exponential function</h3>
An exponential function is in the form:

Where a is the initial value of y and b is the multiplier factor
Let y represent the amount of drug after x hours.
After 2 hours, there are 32 mg left. Hence:
After 5 hours, there are 10 mg left. Hence:
From equation 1 and 2, b = 0.6786, a = 69.5
The exponential function is given by 
At 1 hour:
y = 69.5(0.6786) = 47 mg
Find out more on exponential function at: brainly.com/question/12940982
Answer:
The carpenter will need 3 6-foot long boards in order to make the 8 shelves.
Step-by-step explanation:
Given that a carpinter is installing shelves in two offices, each office will have 4 shelves, and the wood the carpinter wants to use comes in 6foot long boards, the measure of each shelf being 2 1/4 feet long, to determine how many boards he does need, the following calculation must be performed:
1/4 = 0.25
(2 x 4 x 2.25) / 6 = X
(8 x 2.25) / 6 = X
18/6 = X
3 = X
Thus, the carpenter will need 3 6-foot long boards in order to make the 8 shelves.
Answer:
(x, y) = (2, -5)
Step-by-step explanation:
The equation is of a line. There are an infinite number of points that will satisfy the equation.
Perhaps you are referring to the fact that the equation appears to be in point-slope form. That form is ...
y -k = m(x -h)
for a line with slope m through point (h, k).
In your equation, k = -5 and h = 2, so the line is known to go through point (2, -5) with slope 3.