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zhenek [66]
3 years ago
11

What is the graph of the function f(x) = the quantity of x squared plus 4 x minus 12, all over x plus 6?

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0
X^2 + 4x -12 = (x+6)(x-2)

so 
  (x+6)(x-2)
---------------- = x - 2
     x + 6

f(x) = x -2

answer is B.

because
if x = -6
then y = -6 - 2 = -8

(-6,-8) is the order pair

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PLEASE HELP ASAP PLEASE
emmainna [20.7K]

Answer:

The equation that represents the line passing through the point (2, -4) with a slope of one half is

f(x) = \frac{1}{2}x - 5

Step-by-step explanation:

The equation of a line can be described by a first order equation in the following format:

f(x) = ax + b

In which a is the slope of the line.

Solution:

The line slope is \frac{1}{2}, so a = \frac{1}{2}.

The equation of the line now is:

f(x) = \frac{1}{2}x + b

The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4

So:

f(x) = \frac{1}{2}x + b

-4 = \frac{1}{2}*(2) + b

-4 = 1 + b

b = -5

So, the equation that represents the line passing through the point (2, -4) with a slope of one half is

f(x) = \frac{1}{2}x - 5

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