Vocabulary
Key Features (Equations)
Domain and Range
Key Features (Graphs)
Solve Quadratic Equations
Square Roots
100
What shape is a parabola?
Parabola is a U shape
100
What is the vertex of,
y=x2 + 2x + 10 ?
( -1, 9 )
100
What is the range of,
-5x2 - 30x - 41 = 0
y ≤ 4
100
What is the zeros of this graph?
1 and 2
100
What value of x is the solution to this equation?
y= x2 - 8 - 2x
A. 6
B. -4
C. 4
C. 4
100
Which expression is equivalent to
sqrt 147
A. 3 sqrt 7
B. 7 sqrt 3
C. 21 sqrt 7
D. 49 sqrt 3
B. 7 sqrt 3
200
What is the vertex of a parabola?
Vertex is the highest or lowest point (where the parabola turns)
200
What is the y-intercept,
y= 5x2 -8x + 3 ?
( 0, 3 ) or 3
200
What is the range of,
y = x2 - 8x + 10
y ≥ -6
200
Is it a minimum or maximum?
Value of the minimum or maximum?
minimum
y = -4 or -4
200
What are the solutions to the equation
2x2 - 4x = 48
A. -2 and 7
B. 4 and 6
C. 2 and 7
D. -4 and 6
D. -4 and 6
200
Which expression is equivalent to
sqrt 48
A. 4 sqrt 3
B. 2 sqrt 12
C. 6 sqrt 2
D. 8 sqrt 3
A. 4 sqrt 3
300
An x-intercept is?
An y-intercept is?
x-intercept = a point on a graph where the line crosses the x-axis
y-intercept = a point on a graph where the line crosses the y-axis
300
Will this equation, y= x2 + 4x + 1 have a minimum or a maximum and what would it be?
Minimum
y = -3
value of -3
300
What is the range of,
y= x2 - 6x + 7
y ≥ -2
300
What is the axis of symmetry?
axis of symmetry is x = 3
300
Which value of x is a solution to this equation?
6x2 - 57x = -72
A. -6
B. 8
C. 3
D. -8
B. 8
300
Which expression is equivalent to
sqrt 200
A. 2 sqrt 50
B. 20 sqrt 2
C. 10 sqrt 2
D. 4 sqrt 25
C. 10 sqrt 2
400
What is the axis of symmetry?
Axis of symmetry is the line that runs through the vertex and divides the parabola in half.
400
What is the axis of symmetry,
f(x) = -2(x + 6)2 - 7
x = -6
400
What is the domain?
-5 < x <= 2
400
What is the Domain and Range of this graph?
Domain = all real numbers
Range = y ≥ 1
400
What is the positive solution to
x2 - 8x - 20 = 0
10
400
Which expression is equivalent to
sqrt 18
A. 9 sqrt 2
B. 3 sqrt 2
C. 2 sqrt 9
D. 6 sqrt 3
B. 3 sqrt 2
500
What is an asymptote?
a line that the graph approaches but never touches
500
What are the transformations of the following equation,
g(x) = -3(x - 4)2 +5
reflect over the x-axis
narrower(vertical stretch) by a factor of 3
4 units right (horizontal shift 4 units)
5 units up (vertical shift 5 units)
500
What is the range?
-10 <= y < 6
500
What are the following key features?
Vertex
Axis or Symmetry
X-intercepts
vertex is ( -2, 2 )
axis of symmetry is x = -2
x-intercepts = ( -4, 0 ) and ( 0, 0 )
500
What is the negative solution to
5x2 + 39x - 8 = 0
-8
500
Which expression is equivalent to
4 sqrt 72
A. 8 sqrt 18
B. 48 sqrt 3
C. 32 sqrt 3
D. 24 sqrt 2
D. 24 sqrt 2