Answer both of the questions pls.

8) A. x + 2,

2) B. f(x) = (x -3) (x +9).

Step-by-step explanation:

Step 1; If the function equals 0, we substitute all the separate factors to 0. We keep the variable on the left side while all the other values go to the right side.

If f(x) = (x +3) (x -9) = 0, then x +3 = 0, x -9 = 0. So x = -3 and x = 9.

If f(x) = (x -3) (x +9) = 0, then x -3 = 0, x +9 = 0. So x = 3 and x = -9.

If f(x) = (x -3) (x -9) = 0, then x -3 = 0, x -9 = 0. So x = 3 and x = 9.

If f(x) = (x +3) (x +9) = 0, then x +3 = 0, x +9 = 0. So x = -3 and x = -9.

So if the factors are 3 and -9, option B is an answer.

Step 2; For the given graph, the same applies. The graph passes through the points of (-2, 0) and (4, 0) on the x-axis.

So if x = -2, then x +2 = 0 and if x = 4, x -4 = 0. The first equation is option A while the second equation is not given.

A linear function in the form y = m·x + b for the line passing through the point (2, -4) with y-intercept 2 is;

y = -3·x + 2

Step-by-step explanation:

From the question, it is required to find the a linear equation passing through the point (2, - 4) with a y-intercept 2 in the form y = m·x + c

Given that the y-intercept is the point at which the line cuts the y-axis, we have, x = 0

Therefore, we have the point on the line representing the y-intercept is (0, 2)

Therefore, the slope of the graph is given as follows;

Therefore, we have;

The equation of the graph in point and slope is given as follows;

y - 2 = -3 × (x - 0) = -3 × x

Therefore, the equation of the line in the form y = m·x + c is given as follows;

y - 2 + 2 = -3 × x + 2

∴ y = -3·x + 2

The equation of the line in the form y = m·x + c is y = -3·x + 2.