Chapter 4 2 Graphs of Quadratics in Vertex

Chapter 4. 2 Graphs of Quadratics in Vertex or Intercept Form #27 The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. ~John Kemeny p 2493 -11, 13 -21, just graph, don’t follow the directions

Quadratic Functions all contain an x² term Parent Function Axis of Symmetry – Divides the graph into mirror images Vertex – Lowest or highest point on the graph

Vertex Form Vocab • h is the horizontal shift • k is the vertical shift • a determines up/down orientation and fat/skinny parabolas. • Vertex is at the point (h, k)

Graph: 1. Identify a, h & k 2. Plot vertex & line of symmetry 3. Pick a value to the left of your x value. Plot point & Reflect across axis of symm. 4. Sketch curve.

geogebra 4. 2 hk

Steps for ploting 1. Identify a, h & k 2. Plot vertex & line of symmetry 3. Pick a x value to the left of your vertex and Plot the point. 4. Reflect across axis of symm. 5. Sketch curve.

1. Identify a, h & k 2. Plot vertex & line of symmetry 3. Pick a value to the left of your x value. Plot point & Reflect across axis of symm. 4. Sketch curve. Y X

1. Identify a, h & k 2. Plot vertex & line of symmetry 3. Pick a value to the left of your x value. Plot point & Reflect across axis of symm. 4. Sketch curve. Y X

Intercept Form • x-intercepts are at (p, 0) & (q, 0) • Axis of symmetry is halfway between p&q. • a determines up/down orientation and fat/skinny parabolas.

geogebra 4. 2 pq

Graph: 1. Identify & plot the intercepts. 2. Find the axis of plug in and find y then. Plot the vertex. 3. Sketch the graph

1. Identify & plot the intercepts. 2. Find the axis of plug in and find y then. Plot the vertex. 3. Sketch the graph Y X

1. 2. 3. 4. 5. 6. 7. Graph Y

1. Identify a, h & k 2. Plot vertex & line of symmetry 3. Pick a value to the left of your x value. Plot point & Reflect across axis of symm. 4. Sketch curve. Y X

Questions? Y X

Assignment • p 249 3 -11, 13 -21, just graph, don’t follow the directions