Question

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

f(x) = x2
g(x) = x2 + 20x + 100

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

Answer 1

a)right by 5 units
b)left by 5 units
c)right by 10 units
d)left by 10 units

Answer 2

@ranga

Answer 3

@zepdrix

Answer 4

@surjithayer

Answer 5

@tHe_FiZiCx99

Answer 6

Complete the square for g(x)

Answer 7

how do I do that?

Answer 8

g(x) = x^2 + 20x + 100 = (x + 10)^2

Answer 9

is the answer b?

Answer 10

f(x) = x^2
g(x) = (x + 10)^2

Replacing x by (x+a) in a function, where a is positive, moves the function LEFT by a units. Replacing x by (x-a) in a function, where a is positive, moves the function RIGHT by a units.

Answer 11

so it would be a then?

Answer 12

How?

Answer 13

f(x) = x^2
g(x) = (x + 10)^2
f(x) becomes g(x) if x is replaced by (x+10).
If we replace x by (x+a), the function moves LEFT by "a" units.
Here we are replacing x by (x+10). So the function moves LEFT by 10 units.

Answer 14

oooooohhh so its d