Vocabulary
Equations
Vertex
Graphs
Misc.
100
What is the name of the u shape graph of a quadratic equation?
Parabola
100
In the equation -2x2 +3x + 8, which direction will this graph open?
Concave downward
100
Which point on the parabola can help you find both the axis of symmetry and the range of the graph?
vertex
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 do you call the highest or lowest point on a parabola?
Vertex
200
Will this equation, 3x2 + 3x + 1 have a min or max?
Minimum
200
What is the vertex for the equation -2(x - 6)2 + 9?
(6, 9)
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
How do you write the standard form of an quadratic equation?
y = ax2 + bx + c
300
Will this equation, 5x2 -8x + 3 have a min or max?
Minimum
300
What is the vertex for the equation x2 + 2?
(0, 2)
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 of the coefficient of an "a" term tell you about the behavior of the parabola?
y = ax2 + bx +c
Positive means up U shape graph, Negative means down u shape
400
Will this equation, -6x2 - 5x have a min or a max?
Maximum
400
What is the axis of symmetry for the equation
(x + 5)(x - 5)?
x = 0
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
What do you call the line that runs through the vertex and divides the parabola in half.
Axis of symmetry
500
What is the y-intercept for the equation, -2x2+4x+1?
(0, 1)
500
What is the axis of symmetry for the equation
(x - 1)(x - 9)?
x = 5
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