Answer:
- horizontally compressed by a factor of 2 and translated upward by 3 units.
Step-by-step explanation:
A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.
Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.
The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.
Answer:
0.81
Step-by-step explanation:
Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:
1,620/2,000
= 0.81
So, the point estimate is 0.81
First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.
Formula to find distance given two points.
Square root (X2 - X1)^2 + (Y2 - Y1)^2
Xa Ya Xb Yb
A = (3, -4) B = (-1, 3)
Xa goes into X2 and Xb goes into X1
(3 - (-1))^2
Ya goes into Y2 and Yb goes into Y1
(-4 - 3)^2
Square root (3 - (-1))^2 + (-4 - 3)^2
Square root (4)^2 + (-7)^2
Square root 16 + 49
Square root 65
= 8.06
The error was Drako had (3 - 4)^2 when it should have been (3 - (-4))^2 because a positive is subtracting a negative.
Answer:
Step-by-step explanation:
The light-dependent reactions use light energy to make two molecules needed for the next stage of photosynthesis: the energy storage molecule ATP and the reduced electron carrier NADPH. In plants, the light reactions take place in the thylakoid membranes of organelles called chloroplasts.
