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

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

misty1212 · Answer

HI!!

misty1212 · Answer

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

misty1212 · Answer

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

misty1212 · Answer

that moves it to the RIGHT 5 units