Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which equation represents the function graphed on the
coordinate plane?
• g(x) = |x + 4| -2
O g(x) = |x - 4|-2
O g(x) = x - 2|-4
O g(x) = |x-2| + 4

Which Equation Represents The Function Graphed On The Coordinate Plane Gx X 4 2 O Gx X 42 O Gx X 24 O Gx X2 4 class=

Sagot :

Kayover
Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.
The parent modulus function is:
g(x) = |x|
It is centered at the origin and opens upwards.
A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis
If "k" is positive, the shift will be to the left. If "k" is negative, the shift will be to the right.
A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis
If "h" is positive, the shift will be upwards. If "h" is negative, the shift will be downwards.
Now, let's check each of the options:
g(x) = |x+4| - 2 :
This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.
g(x) = |x-4| - 2 :
This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.
g(x) = |x-2| - 4 :
This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.
g(x) = |x-2| + 4 :
This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.
All 4 graphs are shown in the attached picture.
Hope this helps :)



Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.