Question

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units right and 4

units up on the parent function f(x)=x²
a. f(x)=(x-5)² +4
8
6-
4
2+
864 -2
-2
L
19
do
+
Mark this and return
+
b. f(x) = (x+3)² + 2
2 4 6
C. f(x)=(x-3)² +4
N
864
d. f(x)=x²-4
2+
-2
4
Top
+
2 4 6
3+
Next
Submit

Answer 1

C. f(x) = (x - 3)² + 4

Explanation:

Given parent function:

`f(x)=x^2`

When a graph is translated "a" units right, subtract "a" from the x-value of the function.

Therefore, the translation of the parent function 3 units right is:

`\implies f(x-3)=(x-3)^2`

When a graph is translated "a" units up, add "a" to the function.

Therefore, the translation of the function 4 units up is:

`\implies f(x-3)+4=(x-3)^2+4`