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Sedbober [7]
2 years ago
9

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

Mathematics
2 answers:
Sveta_85 [38]2 years ago
8 0

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)

so

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}

Natasha2012 [34]2 years ago
4 0

g(x)=-x^2 is right for apex

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