a value
What happens if "a" is negative
The graph of the parabola opens down
What is unique about the "h" value
It's the x coordinate of the vertex
What is the A.O.S.
a dashed vertical line that divides the parabola in half (one half reflects over to the other)
y = -( x + 6 )2 -9 Does it graph up or down? Why?
Down, "a" value is negative
y = x2 vertex
( 0 , 0 )
What happens if "a" is positive
The graph of the parabola opens 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...
The graph will be fatter/wider
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 have 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
The graph will be skinner (vertical compression)
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 0< |a| < 1 results in the parabola...
getting wider
y = -2x2 + 6 what is (h , k)
Hint: complete the square
( 0 , 6 )
y = -6x2 - 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 left and 4 down. Vertical stretch (gets wider) 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