The graph of g of x is a translation of the function f of x is equal to x squared The vertex of g of x is located 5 units above and 7 units to the right of the vertex of f of x Which equation represents g of x ?
Answer
A
g of x is equal to x plus 5 squared plus 7
B
g of x is equal to open paren x plus 7 close paren squared plus 5
C
g of x is equal to x negative 5 squared plus 7
D
g of x is equal to x negative 7 squared plus 5
Explanation
The vertex of f(x) = x² is (0, 0). Moving it 7 units right and 5 units up gives the vertex (7, 5), so the translated function is g(x) = (x − 7)² + 5. This matches choice B.
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