Which is the graph of g(x) = (0.5)x + 3 – 4?

Graph (A)

Step-by-step explanation:

Given question is incomplete; find the question in the attachment.

Given function is g(x) =

Parent function of the given function is,

f(x) =

When the function 'f' is shifted by 3 units left over the x-axis, translated function will be,

h(x) = f(x+3) =

When h(x) is shifted 4 units down, translated function will be,

g(x) = h(x) - 4

g(x) =

g(x) has a y-intercept as (-4).

From the given graphs, Graph A shows the y-intercept as (-4).

Therefore, Graph A will be the answer.

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step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: