Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The graphs below have the same shape. What is the equation of the blue
graph?
G(x) =
A. G(x) = (x + 3)2-5
B. G(x) = (x+3)2 +5
C. G(x) = (x - 3)2 + 5
D. G(x) = (x - 3)2-5

The Graphs Below Have The Same Shape What Is The Equation Of The Blue Graph Gx A Gx X 325 B Gx X32 5 C Gx X 32 5 D Gx X 325 class=

Sagot :

shubhamchouhanvrVT

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

How to get the equation for the blue graph?

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.

If N is negative, the shift is downwards.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

If you want to learn more about translations, you can read:

brainly.com/question/11468584

#SPJ1

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.