Question

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

f(x) = x^2
g(x) = x^2 − 8x + 16

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

A. Left by 4 units

B. Right by 4 units

C. Left by 8 units

D. Right by 8 units

Answer 1

Ummm our fist step would be to convert g(x) into vertex form
\( g(x)=x^2-8x+16\)
\(g(x)=(x^2-8x+16)-16+16\)
\(g(x)=(x-4)^2\)

Answer 2

you know what might work google search it will help with many math problems http://www.wolframalpha.com/

Answer 3

Now that our equation is in the form
\(y=a(x-s)^2+t\)
We know that our s represents how many units the graph has been shifted horizontally
So if s is negative it has been moved to the right s units
If s is positive it has been moved to the left s units
Soo How many units has this graph been shifted?

Answer 4

4

Answer 5

umm right or left?

Answer 6

Left?

Answer 7

Well is s positive or negative?

Answer 8

Negative

Answer 9

Right

Answer 10

correct :)
Did you understand how I converted the equation to vertex form?