a value
What happens if "a" is negative
The graph of the parabola is down
Which of the following values do we flip the sign of?
a
h
k
h
What is the A.O.S.
where we cut the parabola in half
y = -( x + 6 )^2 -9 Does it graph up or down? Why?
Down, "a" value is negative
y = x^2 vertex
( 0 , 0 )
What happens if "a" is positive
The graph of the parabola is up
y= ( x - 4)^2 + 5 what is ( h , k)
(4 , 5)
The vertex is ( 3 , 7 ) what is the A.O.S.
x = 3
y = 2( x - 3 )^2 + 7 the vertex is
( 3 ,7 )
y = -4( x + 1 ) ^2 - 3 vertex
( -1 , -3 )
If "a" = 1/2 the transformation of the graph in relationship to the parent function is a
Vertical compression
y = ( x + 2 )^2 - 6 what is ( h , k )
( -2 , -6 )
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 A.O.S.
x = -5
If "a" is -5 the transformation of the graph in relationship to the parent function is a
Vertical Stretch
Translates 3 units to the right and 5 units down, what is (h , k)
( -3 , -5 )
y = ( x - 4 )^2 - 8 what is the A.O.S.
x = 4
y = ( x - 1)^2 + 3 translates
translates 1 unit right and 3 up
y = 4( x + 1 )^2 - 4 the y intercept
( 0 , 0 )
If the "a" value is a fraction, what happens to the graph?
Vertical compression
y = -2x^2 + 6 what is (h , k)
( 0 , 6 )
y = -6x^2 -7 the A.O.S. is x = -7. ( T or F )
False
y = -2( x + 3 ) ^2 - 4 transforms in relationship to the parent function
Translates 3 to the right and 4 down. Vertical stretch by a factor of 2. Reflects across the x axis
when writing a transformation if it is stated "it reflects across the X axis" what must be true
a is negative