Question

Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units

Answer 1

Left by 4

Explanation:

graph x^2 and x^2 − 8x + 16 on Desmos . com

you start at f(x) and end at g(x)

Answer 2

Shift right by 4

Explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function