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tester [92]
3 years ago
6

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function

Mathematics
2 answers:
likoan [24]3 years ago
6 0

Answer:

-4 Graph of parent function is shifted to right by 4 units.

Step-by-step explanation:  

We have been given a parent function f(x)=x^2 and another function g(x)=(x-4)^2+2. We are asked to determine the horizontal translation from the graph of the parent function to the graph of the function g(x).

Let us recall translation rules.  

Horizontal translation:  

f(x)\rightarrow f(x-a)=\text{Graph shifted to the right by 'a' units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to the left by 'a' units}

Vertical translation:

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by 'a' units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by 'a' units}

Upon comparing our functions, we can see that parent function is shifted to right by 4 units and upwards by 2 units to get the the function g(x).

Therefore, the value horizontal translation is -4, which indicates the graph is shifted to right by 4 units.

g100num [7]3 years ago
4 0
The -4  represents  a horizontal translation of 4 units to the right
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