Question

Which transformation would make the quadratic parent function narrower and shift it down 5?

g(x) = 3x² - 5
g(x) = 10x² + 5
g(x) = 1/2x² - 5
g(x) = 1/3x² + 5

Answer 1

(a) 3x² -5

Explanation:

The shift down is accomplished by subtracting 5 from the function value. (Eliminates choices B and D.) The function graph is made narrower by a vertical expansion or a horizontal compression. Either way, the coefficient of the x² term will be greater than 1. (Eliminates choice C.)

The transformed function g(x) = 3x² -5 will be narrower and shifted down from the parent function.