The graph of h is a translation 4 units right and 1 unit down of the graph of f(x) = 3(x - 5)^2 - 1. Write an equation for h(x) in vertex form and explain how you reached your answer.

h(x) = 3(x - 9)² - 2

Step-by-step explanation:

Rules for translation of a function are as follows:

f(x) + a = vertical translation of f(x) upwards by a units

f(x) - a = vertical translation of f(x) downwards by a units

f(x + a) = horizontal translation of f(x) leftwards by a units

f(x - a) = horizontal translation of f(x) rightwards by a units

So, using the above the rules:

h(x) = f(x - 4) - 1

h(x) = (3((x - 4) - 5)² - 1) - 1

h(x) = 3(x - 9)² - 2

answer: 15

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.