Question

Please help me I just want to finish this so I can go to sleep.

Which functions could be represented by the graph? Check all that apply.

f(x) = | x + 0.14|
f(x) = |x| + 1.3
f(x) = |x – 7|
f(x) = |x + 12|
f(x) = |x| – 17
f(x) = |x – 23|

Answer 1

f(x) = |x – 23|

f(x) = |x – 7|

Explanation:

Right on edge

Answer 2

• f(x) = |x -7|
• f(x) = |x -23|

Explanation:

The absolute value function graph is shifted to the right by some unknown amount. That is, the parent function p(x) = |x| has become f(x) = p(x-a) = |x-a|, a right-shift of "a" units.

The grid squares are not marked, so we cannot say exactly what the right-shift is. The only two answer choices having the correct form are ...

f(x) = |x-7|

f(x) = |x -23|

_____

Anything that looks like |x+a| will be left-shifted by "a" units.

Anything that looks like |x| +a will be shifted up by "a" units. If "a" is negative, the actual shift is downward.