VOCABULARY
AXIS OF SYMMETRY
VERTEX
TRANSFORMATIONS
GRAPHS
100
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
100
The axis of symmetry for y=x^2
What is x = 0
100
Which point is the vertex on this graph?
(0, -1)
100
Describe the transformations
y= -x2
Reflection/Flip
100
What does the graph of a parabola look like when a is less than zero?
opens downward: sad face
200
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
200
This is the axis of symmetry for the equation
y = (x+2)^2
What is x = -2?
200
Which point is the vertex on this graph?
What is (2, 64)?
200
Describe the transformations.
y = 2x2+6
Steeper
Moved up 6
200
What does the graph of a parabola look like when a is greater than zero?
opens upward: smiley face
300
The lowest or highest point on a parabola.
What is the turning point?
300
Find the axis of symmetry
y = (x +6)2 - 2
What is x = -6?
300
Find the vertex of this equation:
y=(x+1)2-6
What is (-1,-6)?
300
Describe the transformations.
y= -(x+6)2 -3
Reflection/Flip
Move left 6
Move down 3
300
What happens when a>1?
Steeper (tall & skinny)
400
The name for the place or places a parabola crosses the x-axis.
What are x-intercepts?
400
This is the axis of symmetry for y = -4x^2 + 3.
What is 0?
400
Find the vertex of this equation:
y=-(x-4)2+1
What is (4,1)?
400
Write the equation of the function that shows a horizontal shift 2 units to the left and a vertical shift 3 units up.
y= (x+2)2 +3
400
What happens when |a|<1 ?
Shallower (wider)
500
This is the standard form of a quadratic equation.
What is ax^2 + bx + c = 0 ?
500
Why does the axis of symmetry equation always start with x=...?
Because it is a vertical line
500
Find the vertex of
y = -4x^2 + 3
What is (0,3)?
500
Write the equation of the quadratic function that shows a reflection over the x-axis, a horizontal shift to the right by 4 units and a vertical shift up 6 units.
y= -(x - 4)2 + 6
500
Is it possible for parabola's to have no x intercepts?
Yes