Text: Find the area of the region. See Examples 1, 2, 3, and 4.
f(x) = x^2 + 6x + 9
g(x) = 6x + 25
The x-y coordinate plane is given. There is 1 curve, 1 line, and a shaded region on the graph.
The curve labeled f enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (-4, 1) crossing the line labeled g, changes direction at the point (-3, 0), goes up and right becoming more steep, crosses the y-axis at y = 9, passes through the point (4, 49) crossing the line labeled g, and exits the window in the first quadrant.
The line labeled g enters the window at approximately x = -4.2 on the negative x-axis, goes up and right, passes through the point (-4, 1) crossing the curve labeled f, crosses the y-axis at y = 25, passes through the point (4, 49) crossing the curve labeled f, and exits the window in the first quadrant.
The region below g, above f, and between -4 and 4 on the x-axis is shaded.