Pls help me fill this one out
1 answer:
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Answer:
Option D.
Step-by-step explanation:
we have
-----> the parent function
The vertex of the function F(x) is the origin (0,0)
The vertex of the function G(x) is the point (0,-1)
so
The rule of the translation is equal to
(x,y)------> (x,y-1)
That means ------> The translation is 1 unit down
Applying the rule of the translation to F(x)
F(x)-------> G(x)
Given:
The table of values of a linear relationship.
x y
-1 -1
0 1
1 3
2 5
To find:
The equation for the given table of values.
Solution:
If a linear function passes through the two points, then the equation of the linear relationship is
Consider any two point from the given table. Let the two points are (-1,-1) and (0,1). So, the equation of the linear relationship is
Using distributive property, we get
Subtracting 1 from both sides, we get
Therefore, the required equation is . Hence, the correct option is D.