Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

If a quadratic function has the rule f(x)=(x-h)^2+k, what will cause a vertical translation?
Option 1: Changing the value of h
Option 2: Changing the value of k
Please help me as soon as possible, thanks.

Sagot :

facundo3141592

to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.

Then the correct option is the second one.

What will cause a vertical translation?

First, remember that for a general function f(x) we define a vertical translation of N units as:

g(x) = f(x) + N

  • If N > 0, the translation is upwards.
  • If N < 0, the translation is downwards.

In this case, we have the function:

f(x) = (x - h)^2 + k

If we apply a vertical translation of N units, then we get the new function:

f'(x) = (x - h)^2 + k + N

Now we have two constants, we can define:

k ' = k + N

Then the new quadratic function is:

f'(x) = (x - h)^2 + k'

So, as you can see, to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.

Then the correct option is the second one.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.