(h, k)
What is unique about the "h" value?
It is always the opposite sign of what is shown in the equation.
What is the A.O.S.?
It is the Axis of Symmetry, a dashed vertical line that divides the parabola in half so that it is symmetric on the left and right sides.
y = -( x + 6 )2 -9
Does it open up or down? Why?
Down, "a" value is -1.
y = x2
Find the vertex.
( 0 , 0 )
y= (x - 4)2 + 5
What is (h , k)?
(4 , 5)
If the vertex is (3 , 7), what is the A.O.S.?
x = 3
y = 2( x - 3 )2 + 7
What is the vertex?
( 3 ,7 )
y = -4( x + 1 )2 - 3
What is the vertex?
( -1 , -3 )
y = ( x + 2 )2 - 6
What is ( h , k )?
( -2 , -6 )
If the vertex is ( -5, 6 ), what is the A.O.S.?
x = -5
y = -( x + 2 )2 +7
Does the graph of this quadratic create a max or min?
Max
y = -3 ( x + 5 )2
What is the A.O.S.?
x = -5
The graph translates 3 units to the right and 5 units down from the parent function.
What is (h , k)?
( 3 , -5 )
y = ( x - 4 )2- 8
What is the A.O.S.?
x = 4
y = ( x - 1)2 + 3
What is the domain?
(-infinity, infinity)
y = 4( x + 1 )2 - 4
What is the y intercept?
( 0 , 0 )
y = -2x2 + 6
What is (h , k)?
( 0 , 6 )
True or False?
y = -6x2 -7
The A.O.S. is x = -7.
False
y = -2( x + 3 )2 - 4
What is the range in interval notation?
( -infinity, -4]