We're glad you stopped by On a coordinate plane an absolute value graph has a vertex at 4 2 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 :
Answer:
The equation that represents the point(-4,-2) is g(x)=|x+4|-2.
Option:A.
Explanation:
The given vertices are (-4,-2).
Substitute the vertices in the equations and equate the values to find the equation.
The value given inside the modulus is always positive. eg: |-4|=|4|.
Substitute the vertices in equation g(x)=|x+4|-2.
-2=|-4+4|-2.
-2=0-2.
-2=-2.
∴ The equation g(x)=|x+4|-2 has the vertex (-4,-2).
Check with other equation to confirm the answer.
Substitute the vertices in equation g(x)=|x-4|-2.
-2=|-4-4|-2.
-2=8-2.
-2≠6.
∴ The equation g(x)=|x-4|-2 doesn't has the vertex (-4,-2).
Substitute the vertices in equation g(x)=|x-2|-4.
-2=|-4-2|-4.
-2=6-4.
-2≠2.
∴ The equation g(x)=|x-2|-4 doesn't has the vertex (-4,-2).
Substitute the vertices in equation g(x)=|x-2|+4.
-2=|-4-2|+4.
-2=6+4.
-2≠10.
∴ The equation g(x)=|x-2|+4 doesn't has the vertex (-4,-2).
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