Reference no: EM131076300
1. Sketch the graph of the quadratic function.
f(x) = x2 - 3x
2. Sketch the graph of the quadratic function f(x) = (x+4)2+1. Identify the vertex and axis of symmetry.
3. Sketch the graph of the quadratic function f(x) = x2+2x+1. Identify the axis of symmetry.
4. Find the standard form of the quadratic function shown below:
5. Determine the vertex of the graph of the quadratic function
f(x) = x2 + x + 5/4
6. Determine the x-intercept(s) of the quadratic function
f(x) = x2+ 4x - 32
7. Write a polynomial that fits the description.
A fifth-degree polynomial with leading coefficient 4.
8. Multiply or find the special product.
(x+4)(x+9)
9. Perform the following operation.
Multiply (x2 + 2x + 6) and (x2 - 2x + 6) .
10.Perform the operation and write the result in standard form.
(-8x)(8x + 7)
11.Completely factor the expression.
x4 - 4x3
12.Completely factor the expression.
x2 - 8x + 16
13.Completely factor the expression.
(t-1)2 - 9
14.Solve the equation and check your solution.
5x/2-x/6 = 14
15.Determine whether the equation 3(x-2)=3x-6 is an identity or a conditional equation. If conditional, indicate the condition.
16.Solve the equation and check your solution.
67x- 24 = 3x+8(8x-3)
17.Solve the quadratic equation by factoring.
x2 + 8x +16 = 0
18.Solve the quadratic equation by factoring.
64x2 - 1 = 0
19.Solve the equation and check your solution. (If not possible, explain why.)
x/(x+9)+ 9/(x+9)+2 =0
20.Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Sketch the line.
(0,0), m = 3
21.Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slopem. Sketch the line.
(-6,6), m = -2
22.Which equation does not represent y as a function of x?
y = |-8+9x2|
x = -6y+5
y = 7x+9
x = -1
y = √(8+x)
23.Which of the following equations does not represents y as a function of x?
y = x2-2
y2 = 2-x
y = x2+2
y = x2 +x -2
x2 + y = 2
24.Which equation does not represent y as a function of x?
-5y2 + 7x = 3
2x = -9y
-9x + 7y = -9
-4y = -9
6x2 + 7y = -2
25.Find the domain of the function.
h(t) = 3/t
26.Find the zeros of the function algebraically.
f(x) = √8x - 1
27.Evaluate the indicated function for f(x) = x2-7 and g(x) = (x+3)(f - g)(t + 2)
28. Find (f + g)(x)
f(x) = 2x - 4
f(x) = 6-x
29. Find (f/g)(x)
f(x) = x2 +7x
g(x) = -2 - x
30. Find g.f
f(x) = x-3
g(x) = x2