Description
Unit 2 Project- please show work and make it as simple as possible
Complete parts abc for each quadratic function.
a. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinates of the vertex.
b. Make a table of values that includes the vertex. c. Use the information to graph the function.
- f(x) = 3x^2 + 8x
- f(x)=2x^2 +7x+1
Determine whether each function has a maximum or minimum value. State the maximum or minimum value of each function.
- f(x)=x^2 +6x+9
- f(x)=-x^2+4x
- Write a quadratic equation with roots -3 and 4 in standard form.
Solve each quadratic equation using the method of your choice. Find exact solutions.
- 1.6x^2 -3.2x+18=0
- 10x^2 +3x=1
- x^2 +8x-48=0
Simplify the expression.
- (5- 2i) - (8 -11i)
- (14- 5i)^2
Write each equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
- y=x^2 +10x+27
- y=9x^2 +54x8
Graph each inequality.
13. (x-5)(x+7)<0
14. -5x^2 +x+2<0
Find the exact solution to the system of equations. Check your answer algebraically.
- y=x^2 6x+1, y + 2x = 6
- 2x^2 4x=y+1, x+y=1
Explanation & Answer
Attached.
Running head: MATHEMATICS QUESTIONS
1
Your name
Instructor’s name
Course
Date of submission
Running head: MATHEMATICS QUESTIONS
2
a. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinates of
the vertex.
1. f(x) = 3x^2 + 8x
Y-intercept = (0, y)
So f(x) = 0
Equation of the axis of symmetry
x= -b/2a
x- Coordinate
x= -b/2a
= -8/6 = -4/3
x coordinate = -4/3
2. f(x)=2x^2 +7x+1
y- Intercept = (0, y)
f( x) =1
Equation of the axis of symmetry
x= -b/2a
x -coordinate
x= -b/2a
x= -7/4
x- coordinate = -7/4
b. Make a table of values that includes the vertex.
x
0
1
2
f(x)=3x2 + 8x
0
11
f(x) =2...