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