graphs of quadratic function

1. CHAPTER 3
QUADRATIC FUNCTIONS
AND THEIR GRAPHS

2. Lesson 2: Graph of 𝒇 𝒙 = 𝒂 𝒙 − 𝒉 𝟐
• Graph 𝑓 𝑥 = 𝑥2
• Graph 𝑓 𝑥 = (𝑥 − 3)2
• Graph 𝑓 𝑥 = (𝑥 + 5)2

3. Lesson 2: Graph of 𝒇 𝒙 = 𝒂 𝒙 − 𝒉 𝟐
Solving Quadratic Equations by Factoring
• The graph 𝐲 = 𝒂(𝒙 − 𝒉) 𝟐
has the same shape as the graph
of 𝐲 = 𝒂𝒙 𝟐
.
• If h is positive, the graph of 𝐲 = 𝒂𝒙 𝟐
is shifted h units to the
right.
• If h is negative, the graph of 𝐲 = 𝒂𝒙 𝟐
is shifted h units to
the left.
• The vertex is (h,0) and axis of symmetry is x = h.