Question

Find the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 2

units up on the parent function f(x)=x|
f(x) = 5x + 4 + 2
c. f(x) = x - 71 +2
a.
+
8
2
& 6t 22
2
4
6
8
2
4
1 T9
99
do
b. fx)= x - 4 + 2
d. None of these
6

Answer 1

Answer:y=x^2 translated 3 to the right gives

y=(x-3)^2, the vertex shifts from (0,0) to (3,0)

translate it 4 up by adding 4

y=(x-3)^2 + 4, this shifts the vertex up to (3,4)

f(x) = (x-3)^2 + 4 or call it

g(x) = (x-3)^2 + 4 if you want to distinguish it from the original f(x) function

Step-by-step explanation:In this question we have been given a function f(x) = |x|

When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|

And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2

Therefore the given graph in option B is the correct option.