a value
What happens if "a" is negative
The graph of the parabola is down
Where does (h,k) represent on a graph?
Vertex
Translates 4 to the left and 1 down. Opens up.
y = ( x + 4 )^2 -1
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)
Translates 3 to the right and 1 up. Vertical compression by 1/4. Opens down.
y = -1/4( x - 3 )^2 +1
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 )
Translates 5 to the right. Vertical stretch by a factor of 4. Opens up.
y = 4( x - 5 )^2
y = -( x + 2 )^2 +7 does the graph of this quadratic create a max or min
Max
y = -3 ( x + 5 ) ^2 vertex
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 )
Translates 3 to the down. Vertical stretch by a factor of 2. Opens up.
y = 2x ^2 -3
y = ( x - 1)^2 + 3 translates
translates 1 unit right and 3 up
y = 4( x + 1 )^2 - 4 vertex
(-1, -4)
If 0< |a| < 1 defines a
Vertical compression
y = -2x^2 + 6 what is (h , k)
( 0 , 6 )
Translates 2 to the left and 7 down. Vertical stretch by a factor of 3. Opens down.
y = -3( x + 2 )^2 -7
y = -2( x + 3 ) ^2 - 4 transforms in relationship to the parent function
Translates 3 to the left and 4 down. Vertical stretch by a factor of 2. Opens down.
when writing a transformation if it is stated "it reflects across the X axis (Opens down)" what must be true about "a"
a is negative