h64t5kpjf9
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Compared to the parent function f(x) = x², how has the graph f (x) = x² - 9 been translated?
A) It has been rotated -9 units.
B It has been translated 9 units down.
It has been translated 9 units up.
DIt has been translated 9 units to the left.
E It has been translated 9 units to the right.

Sagot :

GinnyAnswer
To determine how the graph of the function [tex]\( f(x) = x^2 \)[/tex] has been translated, let's analyze the function [tex]\( f(x) = x^2 - 9 \)[/tex].

First, recall the parent function:
[tex]\[ f(x) = x^2 \][/tex]

This function represents a standard parabola that opens upwards with its vertex at the origin [tex]\((0, 0)\)[/tex].

Next, consider the given function:
[tex]\[ f(x) = x^2 - 9 \][/tex]

When comparing this to the parent function [tex]\( f(x) = x^2 \)[/tex], it's evident that we are subtracting 9 from the output of the function.

Subtracting a constant from the function causes a vertical translation of the graph. Specifically, subtracting 9 means every point on the graph of [tex]\( f(x) = x^2 \)[/tex] is moved 9 units downward.

Thus, the transformation that has occurred is a vertical translation of 9 units down.

### Answer:
B) It has been translated 9 units down.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.