The graph shows f(x)and its transformation(x).
1 answer:
Using translation concepts, the equation for function g(x) given in the graph is:
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function for this problem is given as follows:
From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:
More can be learned about translation concepts at brainly.com/question/28098112
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The direct variation equation relates x and y is y = x
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times another variable
If y varies directly with x, then
- y ∝ x
- y = k x is the equation of variation
- k is the constant of variation
∵ y varies directly with x
∵ y ∝ x
∴ y = k x
∵ y = 10 when x = 3
- Substitute these values in the equation above to find k
∴ 10 = k(3)
∴ 10 = 3 k
- Divide both sides by 3
∴ k =
∴ The equation of variation is y = x
The direct variation equation relates x and y is y = x
Learn more:
You can learn more about variation in brainly.com/question/10708697
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