Question

Which graph is a translation of f(x) = x^2 according to the rule y = x^2-5

Answer 1

y = A(Bx - C)ⁿ + D

A is a vertical stretch (or shrink if |A| < 1

B is a horizontal shrink by factor of $\frac{1}{B}$ (or stretch if |B| < 1)

C is a shift to the right (or left if C is negative)

D is a shift up (or down if D is negative)

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y = x² - 5     ⇒ D = -5    

Answer: shift down 5 units