Which is the equation of the function graphed?

f(x) = |x − 4|
f(x) = |x| + 4
f(x) = |x + 4|
f(x) = |x| − 4

Question

Which is the equation of the function graphed?

       f(x) = |x − 4|
       f(x) = |x| + 4
       f(x) = |x + 4|
       f(x) = |x| − 4

anonymous · Answer

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anonymous · Answer

Normally we have:
$$y = mx + c$$
Where $m$ = slope and $c$ = y-intercept.
When graphing absolute values, the graph will always be in a general $V$ form.
The number outside the absolute value bars is the y-intercept.
Looking at the graph, our y-intercept is $-4$.
So the functions graphed is:
$$f(x) = |x| − 4$$

anonymous · Answer

Can you help with this one? 

 Which is the direct linear variation equation for the relationship?

y varies directly with x and y = 12 when x = 4.
 

       y = 2x + 4
       y = 3x
       y = x + 8
       y = x – 8

anonymous · Answer

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anonymous · Answer

Do you know the formula for direct variation?

anonymous · Answer

:( no

anonymous · Answer

Direct variation: $$y=kx$$

"Which is the direct linear variation equation for the relationship? 
y varies directly with x and y = 12 when x = 4"

$$12 = k(4)$$
Solve for $k$:
$12\div4 = 3$
$$k = 3$$

B. y = 3x

anonymous · Answer

thanks!!