We're glad you stopped by On a coordinate plane an absolute value graph has a vertex at 1 3 Which equation represents the function graphed on the coordinate plane A. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
The vertex is given as:
[tex](h,k) = (1,3)[/tex]
An absolute function is represented as:
[tex]y = a|x - h| + k[/tex]
Substitute 1 for h, and 3 for k
[tex]y = a|x - 1| + 3[/tex]
Assume that the value of (a) is 1
[tex]y = 1 \times |x - 1| + 3[/tex]
So, we have:
[tex]y =|x - 1| + 3[/tex]
Represent as a function
[tex]g(x) =|x - 1| + 3[/tex]
Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
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Answer: g(x)= |x-1| + 3
Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three