Factoring Trinomials
Properties in Standard Form
Solving Quadratics by Graphing and Factoring
Completing the Square
vocabulary
100
3x^2 + 10x + 8
(3x+4)(x+2)
100
Find the vertex for f(x) = x^2 -4x + 3.
What is (2,-1)?
100
Find the roots of x^2 -25.
What are -5 and 5?
100
Solve by completing the square. x^2 - 6x = 40
What are -4 and 10?
100
What are three other names that solutions are referred to as?
Zeros x-intercept roots
200
5x^2 + 21x + 4
(5x+1)(x+4)
200
Find the vertex and axis of symmetry for y= -x^2 + 2x - 1
What is (1,0) and x = 1?
200
Find the roots of x^2 + 10x + 25.
What is -5?
200
Solve by completing the square. x^2 + 18x = 15
What are -9 +- 4\/6?
200
The value of the x that makes the f(x) = 0
What is the zero of a function?
300
4x^2 + 11x + 7
(4x+7)(x+1)
300
Determine if maximum or minimum and find the maximum or minimum value for y = -16 x^2 + 32 x + 4
What is a maximum of 20?
300
Find the roots of x^2 + 5x =24
What are -8 and 3?
300
Solve by completing the square. 3x^2 - 24x = 27
What are -1 and 9
300
the y-value of the vertex of a parabola when it opens upward
What is a minimum value?
400
9x^2 - 3x -2
(3x+1)(3x-2)
400
What is the y-intercept of f(x)=-3x^2 -2x -5
y-intercept = -5
400
Find the roots of 9x^2 = 25.
What - 5/3 and 5/3?
400
Solve by completing the square. x^2 = 27 - 6x
What are 3 and -9?
400
what form is this quadratic shown in f(x) = a ( x- h)^2 + k
vertex form
500
The area of a rectangle is 20x^2-27x-8. The length is 4x+1. What is the width?
5x-8
500
Convert the following function from vertex to standard form: f(x) = 2(x+1)^2 -5
2x^2+4x-3
500
Find the roots of 2x^2 + 18 x + 28.
What are -7 and -2?
500
Convert from standard to vertex form y = x^2+4x-3
(x+2)^2-7
500
Which form is shown f(x) = a x^2 +bx+c
Standard form
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