Algebra 1
Name_________________________
Classwork - Graphing Quadratic Equations in Vertex Form
Vertex Form of a Quadratic Equation
𝒚 = 𝒂(𝒙 − 𝒉)𝟐 + 𝒌

When a > 0, the parabola opens up

When a < 0, the parabola opens down

The vertex is (h,k)

The minimum or maximum value of the function is the y-coordinate of the
vertex (k).
For each example below, identify whether the parabola opens up or down, the
minimum or maximum value and the vertex.
Function
𝑦 = (𝑥 + 2)2 − 5
𝑦 = −2(𝑥 + 1)2 + 3
𝑦 = 3(𝑥 − 5)2 + 1
𝑦 = −(𝑥 − 4)2 − 8
𝑦 = (𝑥 − 3)2
𝑦 = −4(𝑥 + 6)2 + 5
𝑦 = 2(𝑥 + 7)2 − 1
Does it open up
or down?
Value Vertex
(h,k)
Maximum or
Minimum Value
Graph each function.
1) y  ( x  1)2  2
2) y  ( x  5)2  3
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
Vertex: _____________
Min/Max Value: ________
Opens up or down? ______
3) y  ( x  3)2  4
4) y  ( x  6)2  1
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
5) y  ( x  1)2  4
6) y  ( x  2)2  7
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
7) y  3( x  5)2  8
8) y  2( x  1)2
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
9. 𝑦 = −2(𝑥 + 2)2 + 5
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
10. 𝑦 = −2(𝑥 + 5) + 6
Vertex: ______________
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
Min/Max Value: ________
Opens up or down? ______
9) y  2( x  3)2  7
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
11) y  2( x  2)2  6
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
10) y  3( x  1) 2  9
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______
12) y  3( x  2) 2  7
Vertex: ______________
Min/Max Value: ________
Opens up or down? ______