Find the equation of the quadratic function g whose graph is shown below. Solve the equation by graphing. 2 x 9 = 0 First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex. Then, use the graph to give the solution(s) to the equation. If there is more than one solution, separate them with commas. Solution(s}: x = I] Answer the questions below based on the two quadratic functions. Function 1 Function 2 B 7 6 1 f(x)= -3x2-12x-4 4 1 2 1 D 7 *2 *17 {a} What is the vertex of Function 1? (U, U) (b) What is the vertex of Function 2? (U, [D {c} Which function has the larger maximum value? 0 Function 1 0 Function 2 What is the larger maximum value? D Answer the questions below based on the two quadratic functions. Function 1 Function 2 4 f(x)=2x2-16x+37 (a) What is the vertex of Function 1? (11], [D (b) What is the vertex of Function 2? (U, [D (c) Which function has the smaller minimum value? 0 Function 1 0 Function 2 What is the smaller minimum value? D For each function below, choose the correct description of its graph. vertical horizontal line with a line with a parabola parabola line line negative positive opening opening X ? slope slope down up (a) g(x) =3x-+4x -2 O O O O O O (b) k(x) =x+4 O O O O O O (c) f ( x) =0 O O O O O OThe data points show an ocean trench's depth y (in feet) at a distance x from a marked buoy (in feet). Each figure has the same data points. However, each figure has a different curve fitting the data. The equation for each curve is also shown. Answer the questions that follow. Figure 1 Figure 2 Figure 3 Ty 2500- 2500- 2500- 2000- 2000 - 2000 - 1500- 1500 - 1500 - 1000- 1000 - 1000 - 500 - 500 500. 0 100 0 100 y= -0.12x +22x+ 1400 y= -0.22x + 20x + 300 y= -0.39x- + 58.4x -352.5 (a) Which curve fits the data best? O Figure 1 O Figure 2 O Figure 3 (b) Use the equation of the best fitting curve from part (a) to predict the depth of the trench 90 feet from the buoy. Give an exact answer, not a rounded approximation. [ feetSolve the quadratic equation by completing the square. x - 14x + 38 =0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. Form: 0.O.... O ( * + D' = 0 X ? O ( x - D)' = 1 Solution: x =