Example
Vertex
x-ints
Vertex Form 𝑦 = 𝑦(𝑦 − ℎ)2 + 𝑦
𝑦 = −25(𝑦 + 3)2 + 5
Factored 𝑦 = 𝑦(𝑦 − 𝑦)(𝑦 − 𝑦)
𝑦=−
1
2
(𝑦 − 4)(𝑦 + 8)
Standard𝑦 = 𝑦𝑦2 + 𝑦𝑦 + 𝑦
𝑦 = −2𝑦2 + 8𝑦 + 1
Vertex Form 𝑦 = 𝑦(𝑦 − ℎ)2 + 𝑦
Factored 𝑦 = 𝑦(𝑦 − 𝑦)(𝑦 − 𝑦)
Example
𝑦 = −25(𝑦 + 3)2 + 5
Graphing
Method
Method 1: .Use transformations for 5-point mapping
𝑦=−
1
2
(𝑦 − 4)(𝑦 + 8)
Plot the x-int(s), the y-int and the vertex. Join these
points in a parabolic shape.
2
Graph𝑦 = −25(𝑦 + 3) + 5
x
y
ay
𝑦+ℎ
ay+k
Method 2. Graph intercepts and vertex (4 points)
Graph ℎ = −0.025(𝑦 − 20)2 + 12 (Projectile
Motion)
Graph 𝑦 = −
vertex
1
2
(𝑦 − 4)(𝑦 + 8) *Plot x-ints and
Standard𝑦 = 𝑦𝑦2 + 𝑦𝑦 + 𝑦
𝑦 = −2𝑦2 + 8𝑦 + 1
Graph ℎ = −16𝑦2 + 112𝑦 + 128