Use your graphing calculator (or Desmos) to graph the following quadratic functions. a. Let f(x) = (x - 2)(x + 4). Determine the roots of f, as well as the z-value of the vertex of the graph of f. i. Roots: I = -4.2 Preview ii. x-value of vertex: -1.-9 Preview b. Let g(x) = 223 + 3x - 10. Determine the roots of g, as well as the r-value of the vertex of the graph of g. i. Roots: I = 1.6085, -3.1085 Preview ii. x-value of vertex: Preview c. Let h(x) = 623. Determine the roots of h, as well as the z-value of the vertex of the graph of h. i. Roots: I = -1/2, 1/2 . Preview ii. x-value of vertex: Preview d. What do you notice about the roots of a quadratic function and the z-value of the vertex of the graph of the function? Select all that apply. The r-value of the vertex is greater than both roots. The r-value of the vertex is less than both roots. The r-value of the vertex is halfway between the roots. The r-value of the vertex is the sum of the roots. Submit Question 1. Points possible: 4 License Unlimited attempts. Score on last attempt: 2. Score in gradebook: 2 Message instructor about this question Post this question to forum Score on last attempt: [10 out of 4 Score in gradebook: |0 out of 4 Suppose f(x) = (x - 5)(x + 7). a. Solve (x - 5)(x + 7) = 0 for r. I = 5.-7 Preview 5 = 5., -7= -7. b. What are the roots of f? T = 5.-7 Preview 5 = 5., -7 = -7. c. What z-value produces a maximum (or minimum) value for f(z)? Preview d. What is the maximum (or minimum) value of f(z)? PreviewDetermine the root(s) of the following quadratic functions. If there is more than one root, enter all roots as a comma-separated list (like "1, 3"). a. Let f(x) = (8x + 10)(x - 3). Determine the root(s) of f. -5/4, 3 Preview b. Let g(x) = c' - 9'. Determine the root(s) of g. I= 2aqrt(23),-2aqrt(23) Preview c. Let h(x) = 523 - 50x + 19. Determine the root(s) of h. (25+sort(530)75,-(25+31 Preview d. Let j(x) = - 5x' + 16x - 3. Determine the root(s) of j. 1/5,3 Preview