Metro by T-Mobile 5:42 AM 39% ( Back Math 1314 Test 4 r... If you have difficulty, then first look for similar problems in the textbook; then ask your instructor for guidance. In addition, working with the HCC tutors can be very beneficial and help improve your time spent studying. 1. Given f(x) = -2(x – 1)2 + 8 a. Determine whether the graph of the parabola opens upward or downward b. Identify the vertex Determine the x-intercept(s) d. Determine the y-intercept C. e. Sketch the function f. Determine the axis of symmetry g. Determine the maximum or minimum value of f h. Write the domain and range in interval notation. 2. From the graph of the quadratic function f(x) = (x + 2)2 – 9, determine the equation of the symmetry 3. Determine the x-intercept(s) of the quadratic function f (x) = x² + 10x + 26 4. Determine the x-intercept(s) of the quadratic function f (x) = x² + 4x – 32 5. Determine the vertex of the graph of the quadratic function f (x) = x² + x + ² 6. Write the quadratic functions in vertex form: а. f(x) — х2 — 4х + 3 b. f(x) 3D — х? + 2х + 2 f(x) = (x² + 16x + 8) C. 7. Write the vertex form of the equation of the equation of the parabola that has a vertex at (-8, - 3) and passes through the point (-6, 2) 8. Find all real zeros of the polynomial f (x) = x* + 5x3 + 6x² and determine the multiplicity of each Dashboard Calendar To Do Notifications Inbox Metro by T-Mobile 5:43 AM 39% ( Back Math 1314 Test 4 r... 9. Use long division to divide. (x3 + 5x2 + 10x + 80) ÷ (x + 5) b. (x3 + 8) + (х + 2) a. 10. Use synthetic division to divide. а. (4x3 + x? — 11х + 6) + (х + 2) b. (24 + 5x3 + 22х - 27х2) + (х — 2) с. (х3 — 27х + 54) + (х — 3) 11. If f(x) -3x2 – 4x + 1, use synthetic division to evaluate f(4) 12. If x =-1 is a root of x + 4x² –x – 4 =0, use synthetic division to factor the polynomial completely and list all real solutions of the equation. 13. If x = v7 is a root of x3 – 3x2 – 7x + 21 = 0, use synthetic division to factor the polynomial completely and list all real solutions of the equation. 14. Using the factors (x+5) and (x+2), find the remaining factor(s) of f (x) = x³ + 6x² + 3x – 10 and write the polynomial in fully factored form 15. Find all zeros of the function f (x ) = ( x + 2 )( x + 3i ) (x - 3i ). 16. Find all zeros of the function f (x) = x² (x + 2)(x³ – 216) 17. Find all the real zeros of f(x) = 6x³ + 8x² + 6x + 8 18. Find all the rational zeros of the function f(x) 2x5 + 3x4 — 9х3 — Зх2 — 11х — 6 19. Given -5i is a root, determine all other roots of f(x) = x³ + 5x2 + 25x + 125 20. Solve for x. 23x = 128 Dashboard Calendar To Do Notifications Inbox