Question

For f(x) = x2 and g(x) = (x − 3)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?

Left 3 units
Right 3 units
Up 3 units
Down 3 units

Answer 1

compared to the graph of \(y=f(x)\) the graph of \(y=f(x+h)\) is shifted
a) \(h\) units to the left if \(h\) is positive or
b) \(h\) units to the right if \(h\) is negative