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3 years ago

I need help with this

Mathematics

1 answer:

alexira [117]3 years ago

8 0

Answer:

g(x)=log(x+4)

Step-by-step explanation:

Here the parent function is f(x)=log x. The function has y intercept as 0 at x=1 .

If we observe the translated function we will observe that , the y intercept of new function is 0 at x=-3. Hence the function is moving ahead of the parent function by 4 units and reaches the y intercept being 0.

If we graph

g(X)= log X

the y intercept will be at (1,0)

X = 1 , Y =0

at X=1 , x = -3 or x = X-4

or X=x+4

Hence

new function will be g(x)=log ( x+4)

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<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function f(x) is $(x+3)^2 - 10$ .

The axis of symmetry of f(x) is left side by 3 units.

The axis of symmetry of g(x) is 5 units to the right of f(x).

Then the axis of symmetry of g(x) is 2 units right side from the origin.

Then the g(x) will be

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More about the function link is given below.

brainly.com/question/14674614

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