Question

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

f(x) = x2
g(x) = x2 + 8x + 16

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

Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units

Answer 1

@jim_thompson5910

Answer 2

i thought it was a but it was wrong

Answer 3

x^2+8x+16 factors to what?

Answer 4

im not sure to tell the truth

Answer 5

think of ways to multiply to 16

16 = 1*16
16 = 2*8
16 = 4*4

which of those pairs of factors add up to 8? is it 1 and 16? 2 and 8? 4 and 4?

Answer 6

4 and 4?

Answer 7

so x^2+8x+16 factors to (x+4)(x+4) which is the same as (x+4)^2

Answer 8

right so that means that it would be b?

Answer 9

To go from x^2 to (x+4)^2, we shift 4 units to the left

so choice A is correct. Your teacher messed up

Answer 10

if you wanted to shift 4 units right,you'd go from x^2 to (x-4)^2

Answer 11

???

Answer 12

so not b

Answer 13

https://www.desmos.com/calculator/2wcevwcxik

Answer 14

Notice how if we shifted the red graph 4 units to the left, we would end up at the blue graph

Answer 15

yes i believe

Answer 16

The answer should be A. Your teacher made a typo somewhere

Answer 17

oh okay thank you for your help!

Answer 18

np

Answer 19

it still says that that one is wrong....

Answer 20

You'll have to discuss it with your teacher. S/he will be able to fix it