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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
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4
2+
864 -2
-2
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19
do
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Mark this and return
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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
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2 4 6
3+
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Respuesta :

semsee45

Answer:

C.  f(x) = (x - 3)² + 4

Step-by-step explanation:

Given parent function:

[tex]f(x)=x^2[/tex]

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:

[tex]\implies f(x-3)=(x-3)^2[/tex]

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

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

[tex]\implies f(x-3)+4=(x-3)^2+4[/tex]

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