Question

Select the correct answer from the drop-down menu. The function shown in the graph is f(x) = .

Answer 1

Note: You may have unintentionally missed to add the diagram, so after a little research I was able to find the diagram, which anyways would help you clear your concept.

Answer:

The function shown in the graph is $y=3(x-2)+1$.

Step-by-step explanation:

From the graph, it is clear that

when x = 0, y = -5

also when x = 2, y = 1

so

$y=3(x-2)+1$

as

putting (0, -5)

$y=3\left(0-2\right)+1$

$y=-6+1$

$y=-5$

also putting (2, 1)

$y=3(x-2)+1$

$y=3\left(2-2\right)+1$

$y=1$

So, the points (0, -5) and (2, 1) lies on the line $y=3(x-2)+1$.

Also

$y=3(x-2)+1$

$y=3x-6+1$

$y=3x-5$

$\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}$

$m=3$

Therefore, the function shown in the graph is $y=3(x-2)+1$.