Vocabulary
Positive or Negative
Vertex
Graphs
Misc.
100
What shape is a parabola?
Parabola is a U shape 
100
Sketch this parabola (draw a U shape) to show if it opens upwards or downwards: -2x2 +3x + 8
-2x2 +3x + 8 opens downward because it is negative
100
What is the maximum point for the equation, -2x2+4x+1?
(1,3)
100
What is the zeros of this graph?
(1,0) (5,0)
100
What is the leading coefficient in this equation?
-2x + 8 + 4x2
4
200
What is the vertex of a parabola?
Vertex is the highest or lowest point (where the parabola turns)
200
Sketch this parabola (draw a U shape) to show if it opens upwards or downwards: 2x2 +3x + 8
2x2 +3x + 8 opens upward because it is positive
200
The vertex can be used to identify what other parts of a parabola? *hint there are two*
axis of symmetry and range
200
What is the vertex and axis of symmetry?
vertex (3,-4) axis of symmetry x=3
200
Write this equation in Standard form.
5x - 2x2 - 1
-2x2 + 5x - 1
300
Rewrite this in standard form of an quadratic equation: y = bx + c +ax2
standard form of an quadratic equation:
y = ax2 + bx + c
300
Sketch this parabola (draw a U shape) to show if it opens upwards or downwards: x2 + 4x + 1
x2 + 4x + 1 opens upward because it is positive
300
What is the vertex for the equation x2 + 4x + 1?
(-2,-3)
300
What is the range and domain of the graph?
Domain = all real numbers
Range = y > -4
300
Write the following equation in standard form.
-9 + x - 6x2
-6x2 + x - 9
400
What can the sign (+ or -) of the "a" term tell you about the shape of the parabola?
If it is positive the parabola opens _up or down___, if it in negative the parabola opens _up or down____.
y = ax2 + bx +c
Positive means up U shape graph, Negative means down u shape
400
Will this equation, 3x2 + 3x + 1 have a min or max?
Minimum
400
What is the vertex for the equation -x2 + 4x + 2?
(2,6)
400
What is the Domain and Range of this graph?
Domain = all real numbers
Range = y > 1
400
Write the following in standard form and identify the a, b, & c of the equation.
3x - 8 + x2
x2+ 3x - 8
a = 1 b = 3 c = -8
500
Positive a quadratics have a __minimum or maximum__.
Positive a quadratics have a minimum.
500
Will this equation, 5x2 -8x + 3 have a min or max?
Minimum
500
What is the axis of symmetry for the equation 9x2 - x + 2 ?
x = 0
500
Identify the following:
Domain, Range, Vertex, and Axis of Symmetry
Domain = all real numbers
Range = y < 4
Vertex (2,4)
Axis of symmetry: x=2
500
In a standard equation "a" determines if the graph will go up or down but what does "c" determine in the equation?
ax2 + bx + c
c is the y intercept
600
What is the axis of symmetry?
Axis of symmetry is the line that runs through the vertex and divides the parabola in half.
600
Will this equation, -6x2 - 5x have a min or a max?
Maximum
600
What is the axis of symmetry for the equation, x2 - 6x + 7
(3, -2)