Rich – AAT (H)
Name: _________________________________
3.1 Day 3 Writing Equations of Quadratics in Vertex Form Date: ____________________ Period _______
Essential Question: What do I need in order to start the problem?
Learning Targets: Students will be able to…
 2.A.7: write the vertex form of the quadratic function given a graph.
 2.A.8: write the vertex form of the quadratic function given a vertex and a point on the graph.
Warm Up
Convert to vertex form. Identify the axis of symmetry and the vertex. Graph.
1)
-10
y  x 2  16x  71
-8
-6
-4
2) y  x 2  2x  5
10
10
8
8
6
6
4
4
2
2
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8
Axis of Symmetry: ________________
Axis of Symmetry: ________________
Vertex: _________________________
Vertex: _________________________
10
Ex 1) Write an equation for the quadratic function whose vertex is (6, 1) and goes through the point (5, 10).
Ex 2) Write an equation for the quadratic function whose vertex is (-3, 4) and goes through the point
(-2, 8).
Practice: Worksheet and finish ATR, if necessary
Rich – AAT (H)
Name: _________________________________
Vertex Form HW
Date: ____________________ Period _______
Put the following equations in vertex form and then graph.
1. y  x  4 x  4
2
-10
-8
-6
-4
2.
y   x2  2x  2
10
10
8
8
6
6
4
4
2
2
-2
2
4
6
8
10
-10
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
3. y  3x  6 x  3
2
4.
-4
-6
-8
-10
4
6
8
10
2
2
-2
2
4
2
-2
10
6
4
-4
8
8
6
-6
6
10
8
-8
4
y  2 x2  x  4
10
-10
2
4
6
8
10
-10
-8
-6
-4
-2
-2
-4
-6
-8
-10
5. y   x  4 x  3
2
6.
y  5x2  3x  6
DO NOT GRAPH – ONLY WRITE IN VERTEX
FORM AND IDENTIFY THE VERTEX.
10
8
6
4
2
-10
-8
-6
-4
-2
2
4
6
8
10
-2
-4
-6
-8
-10
10. Write an equation for the quadratic function whose vertex is (2, 4) and goes through
the point (5, 5).
Review
11. f (x )  x 2  8x  13
12. f (x )  5x 2  10x  7
y-intercept:
y-intercept:
axis of symmetry:
axis of symmetry:
vertex:
vertex:
Max/Min?
Max/Min?