The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the parabola? a. y = 2(x - 2)2 + 4 b. y = 3(x - 4)2 + 2 c. y = 6(x - 2)2 + 4 d. x = 4(y - 3)2 + 1

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