Parts Of A Graph
What is the name of where the parabola intersects the Y-Axis?
The Y-Intercept
How many types of forms did we go over in this unit?
Three 3
The width of a rectangle is 2 units less than the length. The area of the rectangle is 48 square units. What is the width, in units, of the rectangle?
6 Units
What part of a graph would (0,-12) be?
The Y-Intercept
What is the lowest value of a point plotted on a graph called?
The Minumum
What was the first form that we learned?
Standard Form
The width of a rectangle is 1 unit less than the length. The area of the rectangle is 56 square units. What is the length, in units, of the rectangle?
8 Units
What part of a graph would this be? x=7
The Axis of Symmetry
What are Zeros/Roots?
X-Intercepts
What form is this? a(x - h)² + k
Vertex Form
Carson has a deck that measures 25 feet by 20 feet. He wants to increase each dimension by equal lengths so that its area is increased by 50%. By how much should he increase each dimension?
5 Feet
What part of a graph is (-∞, ∞)?
The Domain
What is the Axis of Symmetry?
A straight line that divides a parabola into two identical parts
What form is this? a(x - r1)(x - r2)
Factored Form
Mrs. Davis has a deck that measures 12 feet by 15 feet. He wants to increase each dimension by equal lengths so that its area is increased by 50%. By how much should he increase each dimension?
3 Feet
What part of the graph would (9,-2) be?
The Vertex
What is always the domain of a quadratic?
Negative Infinity and Infinity (-∞, ∞) It must be in this order
How can you translate standard quadratic to vertex form?
Completing the Square
Mr. Thompson has a deck that measures 20 feet by 21 feet. She wants to increase each dimension by equal lengths so that its area is tripled. By how much should she increase each dimension?
15 Feet
What part of a graph is this (-∞, 5]?
The Range