Will mark brainliest :)

D

Step-by-step explanation:

The equation of the parabola is of the form

y = ax² + c ( where c is the y- intercept )

Here c < 0

Since the parabola has a maximum value and opens down then a < 0

Thus the only equation that could represent this parabola is

y = - x² - 3 → D

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

hm let me think hm think think hm think yes