Quadratic Vocabulary
Solving Quadratic Equations
Factoring
Graphing Quadratic Functions
Random Quadratic Questions
100
What is the name of the graph of a quadratic function?
PARABOLA
100
Solve this equation:
x2 = 49
x = ±7
100
Factor the expression:
x2-11x+24
(x-3)(x-8)
100
What is the vertex of the parabola?
y=-0.5(x+4)2+6
(-4,6)
100
What is the range of this parabola?
y≥-2
200
What is the name of the line that cuts the graph of a quadratic in half?
AXIS OF SYMMETRY
200
Solve this equation:
(2x+1)(x-3)=0
x=-1/2 and x=3
200
Factor the expression:
x2-x-132
(x-12)(x+11)
200
DO THE GRAPH:
Given: a=1
What is the equation of the parabola in vertex form?
Show the Graph:
y=(x-2)2-9
200
What is the equation in standard form?
y=(x+4)2-1
y=(x+4)(x+4)-1
y=x2+4x+4x+16-1
y=x2+8x+15
300
What is the name of the maximum or minimum of a quadratic function?
VERTEX
300
Solve the equation:
2x2+6=-26
2x2=-32
x2=-16
x=±4i
300
Factor the expression:
25x2-4
(5x+2)(5x-2)
300
Do the Graph!!
Given: One x-intercept is (0.5,0) and a = 2.
What is the equation of the quadratic function in intercept form?
Show Graph:
y = 2(x - 0.5)(x - 5)
or
y = 2(2x - 1)(x - 5)
300
What is the equation in standard form?
y=-(x-2)(x+10)
y=-(x2+10x-2x-20)
y=-(x2+8x-20)
y=-x2-8x+20
400
What is the vertex formula?
400
Solve this equation:
x2+6x+9=25
x+3)2=25
√ both sides
x+3 = ±5
x=-3±5
x=-3+5=2 and x=-3-5=-8
x=2 and x = -8
400
Factor the expression:
2x2+23x+11
(2x+1)(x+11)
400
What are the coordinates of the x-intercepts of this quadratic function?
y=16x2 - 1
Solve: 0=16x2-1
(1/4, 0) and (-1/4, 0)
400
What is the vertex form of the equation?
y=x2-10x+21
y+c=(x2 -10x+c) +21
Find c: 1/2(10)=5→52=25=c
y+25 = (x2-10x+25)+21
y+25=(x-5)2+21
subtract 25 from both sides
y=(x-5)2-4
500
What is the set of all possible y-values called?
Range
500
Solve this equation:
0=2x2-7x-5
500
Factor the expression:
3x2+13x-10
(3x-2)(x+5)
500
What is the Axis of Symmetry of this quadratic function?
y=3x2-7x
By Vertex Formula:
x=-(-7)/(2*3)
7/6
or
1.1667
500
A parabola has a vertex of (1,-2) and passes through the point (0,0).
What is the equation of the parabola?
From the vertex we know:
y=a(x-1)2-2
From the point we know x & y:
0=a(0-1)2-2
0=a(-1)2-2
0=1a-2
2=a
Put "a" in the equation
y=2(x-1)2-2