College Algebra problems. Must show all work

Please show ALL work1.Show the graph of the quadratic functionf(x) = x2-4 .Identify the vertex and axis of symmetry.2. Show the graph of the quadratic functionf(x) = x2+3 .Identify the vertex and axis of symmetry.3. Show the graph of the quadratic functionf(x) = (x+4)2+1 .Identify the vertex and axis of symmetry.4. Give the vertex of the graph of thequadratic functionf(x)= x2+x + 5/45. Determinewhether the statement is true or false. The function given byf(x) = -17x2 -6 has no[img width="17" height="29" src="file:///C:/Users/Jenica/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png" alt="mc005-2.jpg" v:shapes="Rectangle_x0020_5">-intercepts.6. Determinethex-intercept(s) of the quadratic function f(x)= x2 + 4x-328. Performthe operation and write the result in standard form.  8z -[ 3z - (7z+5) ]9. Perform the following operation. Multiply(3x +7) and (x-9)10. Perform the operation and write the resultin standard form. (9 -3.5y) {8y3} ( to the third power)11. Completelyfactor the expression. (t -1) 2 -912. Factorthe trinomial by grouping. 15x2 - 16x +113. Factorthe trinomial by grouping. t2 -3t-2814. Determinewhether the value of x= -3 is a solution of the equation.11-5x =5x -10 15. Solve the equation and check your solution. 5y +1 = 6y -5+ 8y16. Determine whether the equation -6(x-1) =-6x + 12is an identity or aconditional equation. If conditional, indicate the condition.17. Write the following quadratic equation instandard form. -8x2 =3+x18. Solve the quadratic equation by factoring. X2 + 4x =3219. Solve the equation6+y/y + 5+y/y = -720. Find the slope-interceptform of the equation of the line passing through the points. Sketch the line.(6,4), (-6,6)22. Evaluate the function f(x)= 6x-5 atf(1)25. Find the domain of thefunction. h(t) = 3/t27. Find (f-g)(x)f(x)= x+6, g(x) = x -628. Find (fg)(x) f(x) = x2 , g(x)= 7x-629. Evaluate the indicated function forf(x) = X2 + 3,and g(x)= x-6 (f-g)(4t)30. Findgofand the domain of composite function f(x)=|x|, g(x) =x+1