Question

ASAP Use the graph below to answer the following question:
Using the parent function f(x)= |x|, which of the following functions represents the transformation shown in the graph above

g (x)= 1/4 |x+3|+1
g(x)=4 |x+3| -1
g(x) = 1/4 |x+3| -1
g(x)=1/4 |x-3| -1

Answer 1

Answer:

$g(x)=\frac{1}{4}|x+3|+1$

Step-by-step explanation:

If the parent function is y = |x|,

1. |x-a|  would represent horizontal translation a units right

2. |x+a| would represent horizontal translation a units left

3. |x| + b would represent vertical translation b units up

4. |x| - b would represent vertical translation b units down

The function y = |x| is a "v" curve opening upwards from the origin (0,0). The function shown in the graph would be the parent function 3 units left and 1 unit up. That would make it:

y = |x+3| + 1

Also, if you have a constant in front such as y = c |x|, the graph would be:

compressed if c is greater than 1

stretched if c is between 0 and 1

So we can see the graph is stretched (fatter) than the original, so the number in front must be between 0 and 1, from the choices is it clear that it is 1/4.

So the function is  g(x) = $\frac{1}{4}|x+3|+1$

Answer 2

Answer:

the function is  g(x) = \frac{1}{4}|x+3|+1

Step-by-step explanation:

i got it right