25 points & brainliest! 1) the function f(x)=3x+4 is a linear function. let g(x) represent f(x) after a horizontal translation 2 units to the left. what is the equation for the function g(x)? enter your answer in the box. g(x) = 2) consider the function f(x)=−2/3x+2. what is f(1/2)? enter your answer, as a simplified fraction, in the box. f(1/2)= 3) which answer is an equation in point-slope form for the given point and slope? point: (1,−9) ; slope: 2 a) y+9=2(x−1) b) y+9=2(x+1) c) y−9=2(x+1) d) y−9=2(x−1)

(1)

Ad g(x) represent f(x) after horizontal translation 2 units to the left.

is the required translation.

(2)

(3) We have been given a point (1,-9); slope 2

We will use the equation:

m is the give slope.

Therefore, Option (a) is correct.

 The answers are:

(1)

(2)

(3) (a)

Step-by-step explanation:  The calculations are as follows:

(1) The given function is

We are to find the equation for the function g(x) is it represents f(x) after a horizontal translation of 2 units to the left.

When the function f(x) is translated 2 units to the left, the vertex of the function will shift from (0, 4) to (-2, 4).

So, the equation of g(x) will be

Thus, the equation for g(x) is

(2)  The given function is

We are to find the value of

We have, after putting in the definition of f(x) that

Thus,

(3) We are to find the equation of a line in point-slope form for the following point and slope:

point: (1,−9) ; slope: 2.

We know that the equation of a line in point-slope form passing through the point (a, b) and slope m is given by

Therefore, the equation for the given line will be

Thus, the required equation of the line in point-slope form is

Option (a) is CORRECT.

Hence, all the questions are answered.

1) is right

step-by-step explanation: