Question 5 (4 points) The gquadratic function below models the monthly profit of a community orchestra in thousands of dollars, from 2000 to 2005, where x=0 represents the year 2000. From the graph above, state the exact coordinates of the vertex (use brackets but put no spaces in your answer): | | & From the graph above, state the exact coordinates of the y-intercept (use brackets but put no spaces in your answer): | | & Use the y-intercept and the vertex to find the equation of the quadratic function in standard form. Then, expand to find the equation in general form, fO) =ax+bx+c Write the integer coefficients of this function in the spaces below. a= | I b= | | v c= | | Now, determine exactly when the profit has reached zero, in years from 2000. This is the positive x-intercept. Round your answer to the nearest tenth and express as a decimal. = Question 3 (1 point) Given the following quadratic function in standard form, fix)=2(x+1-4 State the coordinates of the vertex, and the equation of the axis of symmetry in the spaces below: Your answer should be submitted with no spaces between any characters. Vertex = | | v Equation of Axis of Symmetry: | v Question 4 (3 points) Given the following quadratic function in standard form f)=-2(x-1)2+16 answer the questions below. All the numbers in the responses are integers (do not use decimal places). No spaces should appear in any response. Coordinates of the y-intercept: | K Coordinates of the vertex: | | v Equation of the axis of symmetry: | | & This function has real irrational x-intercepts of the form @ * D\\/?. Solve for the x-intercepts by taking the square root of both sides and enter the correct integer values of a, b, c. Factor the following quadratic equation and solve for both roots: 2x2+7x+3=0 Express your answers as a decimal to the nearest tenth, with the smaller value first. (If the roots are -0.5 and -2, then the correct order would be -2 and then -0.5.) Show a sign only if the answer is negative. Solution: X = Question 2 (1 point) The following quadratic function is expressed in both its expanded and factored form below: flx)=2x2=7x+3=(2x-1)(x-3) Choose the correct match for the coordinates of the x and y intercepts of f(x) . X intercept(s) of f(x) y intercept(s) of f(x) point) (0,3] (5.0 and (3,0) (0,-3) (3,0] (-3,0) (- 5,0 and (-3,0) 1 CE,OJ and (3,0) (5,0 and (-3,0)