How do the graphs of the functions y = f(x) and y = f(–x) relate when
f(x) = x2 ?
a. the graphs reflect each other.
b. the second graph is a horizontal shift of the first graph by x units.
c. the graphs are identical.
d. the second graph is a vertical shift of the first graph by x units.
30. write the equation of the function g(x) that translates the parent function
f(x) = x² by shifting g(x) 7 units to the left and 5 units down.
a. g(x) = (x - 7)² - 5
b. g(x) = (x + 7)² - 5
c. g(x) = (x - 5)² - 7
d. g(x) = (x + 5)² - 7

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)