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2 years ago

7

The graph translated horizontally two units right, vertically four units down and reflected across x-axis from its parent functi

on f(x) = x^2. What is the new equation?

1 answer:

Keith_Richards [23]2 years ago

3 0

Parent Function: f(x) = x^2

Right 2 units: f(x) = (x^2 - 2)

Down 4 units: f(x) = (x^2 - 2) - 4

Reflection over x-axis: f(x) = - (x^2 -2) + 4

Answer: f(x) = - (x^2 -2) + 4

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The axis of symmetry of g(x) is 2 units right side from the origin then the function is $\rm g(x) = (x - 2)^2 + k$ . Then the correct option is A.

<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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Thus, the correct option is A.

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