Formulas
What form does the axis of symmetry for a graph need to be written in?
x=
Given the transformations from the parent function, write an equation to represent the new function:
right 4
y=(x-4)2
Find the transformation of the following equation from the parent function:
y=(x+3)2
left 3
Find the axis of symmetry and vertex for the following equation:
y=x2+4x-1
x=-2, (-2, -5)
What form does the vertex of a graph need to be written in?
(x,y)
Given the transformations from the parent function, write an equation to represent the new function:
flipped, down 6
y=-x2-6
Find the transformation of the following equation from the parent function:
y=(x-7)2+4
right 7, up 4
Find the axis of symmetry and vertex for the following equation:
y=-x2+6x-5
x=3, (3, 4)
What is the formula for axis of symmetry using an equation in standard form?
x=-b/2a
Given the transformations from the parent function, write an equation to represent the new function:
stretched by 2, left 3
y=2(x+3)2
Find the transformation of the following equation from the parent function:
y=2x2-1
vertical stretch by 2, down 1
Find the axis of symmetry and vertex for the following equation:
y=4x2+7
x=0, (0, 7)
What is the formula for standard form?
y=ax2+bx+c
Given the transformations from the parent function, write an equation to represent the new function:
flipped, compressed by 1/3, up 3
y=-1/3x2+3
Find the transformation of the following equation from the parent function:
y=-3(x+2)2+4
flipped over x-axis, vertical stretch by 3, left 2, up 4
Find the axis of symmetry and vertex for the following equation:
y=-2x2+6x
x=3/2, (3/2, 9/2)
What is the formula for vertex form?
y=a(x-h)2+k
Given the transformations from the parent function, write an equation to represent the new function:
flipped, stretched by 4, left 6, down 3
y=-4(x+6)2-3
Find the transformation of the following equation from the parent function:
y=-5/3x2+1
flipped over x-axis, vertical stretch by 5/3, up 1
Find the axis of symmetry and vertex for the following equation:
y=2x2
x=0, (0,0)