For the parent function y=√x what effect does a value of k = -3 have on the graph? Horizontal shift of 3 units to the right Horizontal shift of 3 units to the left Vertical shift of 3 units up Vertical shift of 3 units down

Answer:Vertical shift of 3 units down ⇒ last answerStep-by-step explanation:* Lets revise the translation of a function- If the function f(x) translated horizontally to the right    by h units, then the new function g(x) = f(x - h) - If the function f(x) translated horizontally to the left    by h units, then the new function g(x) = f(x + h) - If the function f(x) translated vertically up    by k units, then the new function g(x) = f(x) + k - If the function f(x) translated vertically down    by k units, then the new function g(x) = f(x) – k * Lets solve the problem∵ The parent function y = √x∵ There is a translation by k = -3- From the rules above k is for the vertical translation∵ k = -3- That means the parent function translated 3 units down∴ The value of k = -3 makes the graph of the parent function translated    3 units down- For more understand look to the attached graph# y = √x ⇒ the red graph# y = √x - 3 ⇒ the blue graph