4 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

inessss [21]4 years ago

4 0

Answer:

Step-by-step explanation:

hello :

her is an solution :

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The graphs below have the same shape. What is the equation of the red graph?

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we have

$g(x)=4-x^{2}$

the vertex of the function g(x) is the point $(0,4)$

the vertex of the function f(x) is the point $(0,0)$

the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

that means

the translation is $4$ units down

therefore

the equation of the function f(x) is

$f(x)=g(x)-4\\f(x)=(4- x^{2})-4 \\f(x)=- x^{2}$

therefore

<u>the answer is</u>

$f(x)=- x^{2}$

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