College Algebra problems. Must show all work
College Algebra problems. Must show all work
Please show ALL work
1.Show the graph of the quadratic function f(x) = x2-4 . Identify the vertex and axis of symmetry.
2. Show the graph of the quadratic function f(x) = x2+3 . Identify the vertex and axis of symmetry.
3. Show the graph of the quadratic function f(x) = (x+4)2+1 . Identify the vertex and axis of symmetry.
4. Give the vertex of the graph of the quadratic functionf(x)= x2+x + 5/4
5. Determine whether the statement is true or false.
The function given by f(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 5″>-intercepts.
6. Determine thex-intercept(s) of the quadratic function f(x)= x2 + 4x-32
8. Perform the 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 result in standard form.
(9 – 3.5y) {8y3} ( to the third power)
11. Completely factor the expression. (t -1) 2 -9
12. Factor the trinomial by grouping. 15x2 – 16x +1
13. Factor the trinomial by grouping. t2 -3t-28
14. Determine whether 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+ 8y
16. Determine whether the equation -6(x-1) = -6x + 12is an identity or a conditional equation. If conditional, indicate the condition.
17. Write the following quadratic equation in standard form.
-8x2 =3+x
18. Solve the quadratic equation by factoring.
X2 + 4x =32
19. Solve the equation6+y/y + 5+y/y = -7
20. Find the slope-intercept form 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 at f(1)
25. Find the domain of the function. h(t) = 3/t
27. Find (f-g)(x)
f(x)= x +6, g(x) = x -6
28. Find (fg)(x)
f(x) = x2 , g(x)= 7x-6
29. Evaluate the indicated function for f(x) = X2 + 3,and g(x)= x-6
(f-g)(4t)
30. Findgof and the domain of composite function
f(x)= |x|, g(x) =x+1
