A2 2-1 Vertex Form (part 2)
Presentation
•
Mathematics
•
9th - 11th Grade
•
Medium
Erica Nafziger
Used 2+ times
FREE Resource
14 Slides • 11 Questions
1
by Erica Nafziger
2
Find key features of the function y = 2(x - 3)2 + 4 ?
Describe the translation... how was it "moved"?
3
Multiple Choice
Find key features of the function y = 2(x - 3)2 + 4 ?
Describe the translation... how was it "moved" LEFT OR RIGHT?
3 units left
3 units right
4 units right
4 units left
2 units right
4
Multiple Choice
Find key features of the function y = 2(x - 3)2 + 4 ?
Describe the translation... how was it "moved" up or down?
3 units up
3 units down
4 units up
4 units down
2 units up
5
Multiple Select
Find key features of the function y = 2(x - 3)2 + 4 ?
Describe the translation... how was it "shaped"?
smile
(arms up)
frown
(arms down)
stretched by a factor of 2
compressed by a factor of 2
stretched by a factor of 4
6
Find key features of the function y = 2(x - 3)2 + 4 ?
Describe the translation... how was it "moved"?
ANSWER summary:
translated up 4 units, right 3 units, and stretched by a factor of 2
7
Find key features of the function y = 2(x - 3)2 + 4 ?
Draw the graph?
How do we do that?
Where would we start?
8
Open Ended
Given the function y = 2(x - 3)2 + 4 ?
What might be the first step if we wanted to plot a graph?
9
Find key features of the function y = 2(x - 3)2 + 4 ?
Draw the graph?
How do we do that?
Where would we start?
10
Find key features of the function y = 2(x - 3)2 + 4 ?
What is the Vertex?
Axis of Symmetry?
Minimum OR Maximum?
Domain?
Range?
11
Multiple Choice
Given the function y = 2(x - 3)2 + 4 ?
What is the Vertex?
(-3, 4)
(3, 4)
(-3, -4)
(3, -4)
12
Multiple Choice
Given the function y = 2(x - 3)2 + 4 ?
What is the Axis of Symmetry?
x = 2
x = 3
x = -3
x = 4
x = -4
13
Multiple Select
Given the function y = 2(x - 3)2 + 4 ?
What is the MINIMUM or MAXIMUM?
Y = 2
Y = 3
Y = 4
minimum
maximum
14
Multiple Choice
Given the function y = 2(x - 3)2 + 4 ?
What is the DOMAIN?
[−∞,∞]
(−∞,∞)
(3,4)
[3, 4]
(6, 4)
15
Multiple Choice
Given the function y = 2(x - 3)2 + 4 ?
What is the RANGE?
[−∞,∞]
(−∞,∞)
(3,4)
[4,∞)
(−∞,4]
16
17
18
Write an equation in Vertex form given vertex of (1, 2) and point (2, -5)
What piece of information are we missing in order to be able to write a vertex form equation?
19
Open Ended
Given vertex of (1, 2) and point (2, -5)
What piece of information are we missing in order to be able to write a vertex form equation?
20
Write an equation in Vertex form given vertex of (1, 2) and point (2, -5)
What piece of information are we missing in order to be able to write a vertex form equation?
We do not have A!
But we do have an X and Y!
21
Write an equation in Vertex form given vertex of (1, 2) and point (2, -5)
What piece of information are we missing in order to be able to write a vertex form equation?
We do not have A!
But we do have an X and Y!
So given a vertex and a point, we can plug both of those into the VERTEX FORM and solve for 'a'.
Then write an equation!
22
Open Ended
Write an equation in Vertex form given vertex of (1, 2) and point (2, -5).
Do your work on scratch paper then Type a Vertex form equation into the box.
23
24
25
by Erica Nafziger
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