Question

Functions f(x) and g(x) are shown below:

f(x) = x2
g(x) = x2 - 10x + 25

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Right by 5 units

Left by 5 units

Right by 10 units

Left by 10 units

Answer 1

HI!!

Answer 2

you are looking for the vertex
the first coordinate of the vertex is alway \(-\frac{b}{2a}\) which in your case is \(-\frac{-10}{2}=5\)
the second coordinate is what you get when you replace x by 5

Answer 3

you will get \(0\) because
\[x^2-10x+25\] is a perfect square it is
\[y=(x-5)^2\]

Answer 4

that moves it to the RIGHT 5 units