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Anna35 [415]
3 years ago
9

The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the rig

ht of the vertex of f(x). Which equation represents g(x)?
g(x) = (x + 7)2 + 5
g(x) = (x – 7)2 + 5
g(x) = (x + 5)2 + 7
g(x) = (x – 5)2 + 7
Mathematics
2 answers:
Papessa [141]3 years ago
7 0

we know that

The graph of g(x) is a translation of the function f(x)

so

f(x)=x^{2}

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

the vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x)

The rule of the translation is

(x,y)--------> (x+7,y+5)

<u>Find the vertex of the function g(x)</u>

(0+7,0+5)=(7,5)

the vertex of g(x) is the point (7,5)

the equation of the function g(x) in the vertex form is equal to

g(x)=(x-h)^{2} +k

where

(h,k) is the vertex

substitute the value of the vertex in the equation

g(x)=(x-7)^{2} +5

<u>the answer is</u>

g(x)=(x-7)^{2}+5

kvasek [131]3 years ago
5 0

Answer:

the answer is B

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