
Vertex Form of a Quadratic Function
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Heather Osunga Buyu
Used 274+ times
FREE Resource
7 Slides • 10 Questions
1
Vertex Form of a Quadratic Function
2
Learning Objectives
Determine the vertex of a quadratic function
Graph a quadratic function in vertex form
3
Multiple Select
Check all of the equations that are in standard form
y=2x+1
y=x2+4x−9
y=4(x−5)2+3
y=x2+9
4
5
Multiple Select
Select all equations that are in vertex form
y=x2+5x
y=3(x+4)2−1
y=−(x+3)2−2
y=(x+3)(x−2)
6
Fill in the Blanks
Vertex form gives you the
Type answer...
7
8
9
10
Multiple Choice
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
(5,-4)
(-5,-4)
(-15, 4)
(15, -4)
11
Steps to graphing a quadratic equation in Vertex Form
Identify the vertex (h,k)
Select 2 more x's close to one side of the vertex to plug into the equation.
Reflect those two points to the other side of the axis of symmetry
12
Poll
Did you read the previous slide?
Yes
No
13
Multiple Choice
You already have that the equation y = 3(x + 5)2 - 4 has a vertex at (-5, -4). Click on the image to enlarge. The next step is to pick 2 x's close to the axis of symmetry and on the same side of the axis of symmetry. What would you pick
-6 and -7
-6 and -4
-5 and -6
-5 and -7
14
Poll
If you plug in -6 and -7 for x you'll get the two points which are now graphed. When a graph has an axis of symmetry, it means the graph is same on both sides. Do you see that you could reflect the new points across the axis of symmetry to get two more points on the other side? Click on image to make it larger.
Yes
No
15
Open Ended
Here's what your graph should look like. What questions do you have? Click on the image to view the graph.
16
Multiple Choice
Sketch the graph of the following function
17
Multiple Choice
Sketch the graph of the following function
Vertex Form of a Quadratic Function
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