Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. identify the values of a and b. a = and b = 2. find the x-coordinate of the vertex. = 3. find the y-coordinate by evaluating the function at the x-value found in the previous step. the vertex is.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is