Write the equation of the piecewise function whose graph is shown

1. The intevals of x should be:

This gives you that option B is false.

Now the middle part of the graph is parabola going in negative y-direction and right part of the graph is parabola going in positive y-direction. Therefore, option A is false, because there the middle parabola is going upward.

The third part of the graph has vertex at point (5,4). In option D the vertex of the parabola is (3,4), so this option is false.

correct choice is C.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17