# College Algebra problems. Must show all work

**Question description**

Please show ALL work

1.Show the graph of the quadratic function
f(x) = x^{2}-4 .
Identify the vertex and axis of symmetry.

2. Show the graph of the quadratic function
f(x) = x^{2}+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)= x^{2}+x + 5/4

5. Determine
whether the statement is true or false.

The function given by f(x) = -17x^{2} -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. Determine
the*x*-intercept(s) of the quadratic function f(x)= x^{2 }+ 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) {8y^{3}} ( to the third power)

11. Completely
factor the expression. (t -1)^{ 2 }-9

12. Factor
the trinomial by grouping. 15x^{2 } - 16x +1

13. Factor
the trinomial by grouping. t^{2 } -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.

-8x^{2 }=3+x

18. Solve the quadratic equation by factoring.

X^{2 } + 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) = x^{2 }, g(x)= 7x-6

29. Evaluate the indicated function for
f(x) = X^{2 } + 3,and g(x)= x-6

(f-g)(4t)

30. Find*g*o*f* and the domain of composite function

f(x)= |x|, g(x) =x+1

## Tutor Answer

**Quality**

**Communication**

**On Time**

**Value**

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors