I’m not great at explaining but I hope with the way I did the work explains.
Expansions and compressions are transformations that change the length or width of the graph of a function.
To graph y = a*f (x)
if a> 1, the graph of y = f (x) is expanded vertically by a factor a.
We have then:
f (x) = 2/5 x ^ 2-2
The function g (x) is a vertical stretch of f (x) by a factor of 2:
g (x) = 2f (x)
g (x) = 2 (2/5 x ^ 2-2)
g (x) = 4/5 x ^ 2-4
Answer:
The equation of g (x) is:
g (x) = 4/5 x ^ 2-4
Car Z drives 87 miles per hour
Answer:
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers and the scale on the y-axis shows the numbers There are three straight lines in the graph. The first line joins ordered pair with . The second straight line joins and and the third straight line joins ordered pair with the ordered pair Which of the following best describes the motion of the car shown? It travels for hours, then stops for hours, and finally travels again for hours. It travels for hours, then stops for hours, and finally travels again for hours. It travels for hours, then stops for hour, and finally travels again for hours. It travels for hours, then stops for hour, and finally travels again for hours. Question (Multiple Choice Worth points) ( LC) The graph below shows the height through which an elevator travels, y, in x seconds: A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from toin increments of for each grid line. The values on the y-axis are from to in increments of 10 for each grid line. A line is shown connecting points at ordered pairs 1,10 and 2, 20 and 3, 30 and 4, 40. The title of the graph is Rate of Ascent. What is the rate of change for the relationship represented in the graph? fraction 1 over 40 fraction 1 over 10 10 40 Question 4(Multiple Choice Worth 1 points) (05.03 MC) Barney wants to rent a tent. He has to pay a fixed base cost plus a daily rate for renting the tent. The table shows the amount of money, y, in dollars, that Barney has to pay for renting the tent for x days: Tent Rental Number of days (x) Rent (dollars) (y)
