What is the equation of the line in this graph?

The slope-intercept form:

m - slope

b - y-intercept

The formula of a slope:

We have the y-intercept (0, -3) → b = -3

Chose two points: (6, 1) and (0, -3). Substitute:

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.