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3 years ago

The graphs of f(x) and g(x) are shown below:

Mathematics

2 answers:

bagirrra123 [75]3 years ago

6 0

The right answer for the question that is being asked and shown above is that: "g(x) = (x − 5)^2" If f(x) = (x + 7)^2, the expression that is g(x) based on the translation is that <span>g(x) = (x − 5)^2</span>

Nitella [24]3 years ago

5 0

Answer:

The equation for g(x) is:

g(x)=(x+5)^2

Step-by-step explanation:

We are given the information about the graph of the function f(x) and g(x) as:

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-5,0).

If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).

Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).

so, the equation of g(x) will be:

g(x)=(x+5)^2.

Hence, the translation is a shift of the function f(x) 2 units to the right.

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Answer:

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Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

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