Question

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 right 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

Answer 1

g(x) = (x − 7)^2 + 5

Explanation: f(x)=x^2 has vertex (0,0). Moving 7 right and 5 up gives vertex (7,5), so g(x) = (x − 7)^2 + 5.