Graphing a Parabola from Vertex Form
Graph each function, give the coordinates of the vertex and equation of axis of symmetry
(A.O.S).
1. y = ( x − 1)2 + 2
2. y = 2( x − 2)2 + 5
Vertex = ____________
Vertex = ___________
A.O.S. = ____________
A.O.S. = ____________
Is the vertex a max or min?
Is the vertex a max or min?
3. y = −3( x + 7)2 − 8
4. y = ( x − 5)2 − 3
Vertex = ____________
Vertex = __________
A.O.S. = ____________
A.O.S. = ____________
Is the vertex a max or min?
Is the vertex a max or min?
5. y = −( x − 1)2 + 4
6. y = 2( x + 1)2
Vertex = ____________
Vertex = ___________
A.O.S. = ____________
A.O.S. = ____________
Is the vertex a max or min?
Is the vertex a max or min?
Write the equation of each parabola using transformations.
7. _________________
8. _______________
9. _______________
SOLUTIONS
1. y = ( x − 1)2 + 2
2. y = 2( x − 2)2 + 5
Vertex = (1,2)
Vertex = (2, 5)
A.O.S. = x = 1
A.O.S. = x = 2
Is the vertex a max or min? Min
Is the vertex a max or min? Min
3. y = −3( x + 7)2 − 8
4. y = ( x − 5)2 − 3
Vertex = (-7, -8)
Vertex = (5, -3)
A.O.S. = x = -7
A.O.S. = x = 5
Is the vertex a max or min? Max
Is the vertex a max or min? Min
5. y = −( x − 1)2 + 4
6. y = 2( x + 1)2
Vertex = (1, 4)
Vertex = (-1, 0)
A.O.S. = x = 1
A.O.S. = x = -1
Is the vertex a max or min? Max
Is the vertex a max or min? Min
Write the equation of each parabola using transformations.
𝟏
7. 𝒚 = 4 𝒙𝟐
8. 𝒚 = − 𝒙 − 𝟐
𝟐
9. 𝒚 = 𝒙 + 𝟑
𝟐
−𝟒