What transformations of the parent function (x) = ixl should be made to obtain the graph fx) = -|x|- 5?

a. reflection over the x axis shift down 5 units

b. reflection over the x axis shift up 5 units

c. reflection over the y axis shift down 5 units

d. reflection over the y axis shift up 5 units

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

What are the solutions of the equation? z^2 + 11z + 24 = 0 a. 8, -3 b. 8, 3 c. -8, -3 d. -8, 3

The bolo cavern outside of vandalia is 421 ft below sea level. a little more than75 miles away. mt owens is 7295 feet above sea level. what is the difference in elevation between the bolo cavern and mt owens?