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
The vertex can be used to identify what other parts of a parabola? *hint there are two*
axis of symmetry and range
100
On what interval is the graph increasing?
x > 3
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 x2 + 4x + 1?
(-2,-3)
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
Standard form of an Quadratic equation takes what form?
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 + 4x + 2?
(2,6)
300
Describe the end behavior of the graph.
As x -> right, f(x) -> infinity
As x - > left, f(x) - > infinity
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 9x2 - x + 2 ?
x = 0
400
What is the y - intercept?
(0,5)
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 maximum point for the equation, -2x2+4x+1?
(1,3)
500
What is the axis of symmetry for the equation, x2 - 6x + 7
(3, -2)
500
Identify the following:
Vertex and Initial value
Vertex (2,4)
Initial value (0,0)
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