Quadratic Basics
Graphing Quadratics
Solving Quadratics 1
Solving Quadratics 2
Solving Quadratics 3
100
The name given to the shape of a quadratic function
Parabola
100
The transformations of the quadratic y=3(x+2)2-4
Vertical Stretch by a factor of 3, left 2, and down 4
100
Solve by the square root method:
x2 - 16 = 9
x = ±5
100
Solve by the square root method:
17 - 9x2 = 8
x = ±1
100
Solve: x2 - 16x + 63 = 0
x = 9 or x = 7
200
The name given to the maximum/minimum point of a quadratic function
Vertex
200
What is the vertex?
y = 1/2 (x - 4)2 - 3
(4, -3)
200
To solve by Factoring and the quadratic formula what does the equation have to equal?
ZERO
200
Given the following graph find the solution
x = -3 or x = -1
200
Solve: 6x2 - 19 = 5
x = ±2
300
Does the following has a maximum or minimum?
x2 - 6x = 14
Minimum
300
What is the range?
y = -2(x - 1)2 - 3
y is less than or equal to -3
300
Solve by factoring: x2 - 15x = 34
x = 17 or x = -2
300
Solve by factoring: 2x2 - 5x - 3 = 0
x = -1/2 or x = 3
300
Solve: 2x2 + 3x - 1 = 0
x = (-3±√17)/4
400
How you know an equation is a quadratic
Equation of degree two
400
the domain of y= -(x-3)2+1
all real numbers
400
Solve by using the quadratic formula: 4x2 + 3x - 8 = 0
x=(-3±√137)/8
400
The discriminant of x2 - 3x - 6 = -10 and the type and number of solutions
discriminant is -7, it has 2 imaginary solutions
400
Solve: x2 + 4x = -4
x=-4
500
Does the following quadratic equation have a maximum or a minimum?
y = -3x2 - 4x + 6
Maximum
500
What is the vertex?
y = -2x2 + 8x - 1
(2, 7)
500
Solve by completing the square (must show work):
x2 - 6x = 14
x= 3±√23
500
Solve by completing the square (must show work):
x2 + 8x - 20 = 0
x = 2 or x = -10
500
y= -3x2+10x+4 is the equation of a water balloon x is seconds y is height sketch the graph and state the y int
(0,4)