The function h(x) is a transformation of the square root parent function,
1 answer:
Answer:
A.
Step-by-step explanation:
<h3>Step 1: Definition</h3>The parent function of is translated to the left when
is positive in the transformation
.
If is negative, the graph translates towards the left with the distance equal to the value of
.
Here the graph moved 3 units towards the right. This means that is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
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Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
We have been given gross domestic product (in billions of dollars) can be approximated by .
(a) In this part, we need to compute the derivative of this function:
(b) In this part, we need to find the value of P'(45). So, we will substitute t=45
Billion dollars per year.
(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.