Factored Form of Quadratics
Presentation
•
Mathematics
•
11th Grade
•
Hard
Joseph Anderson
FREE Resource
9 Slides • 12 Questions
1
2
Identifying the x-intercepts of a Quadratic Function in Factored Form
Finding the Vertex of a Quadratic Function in Factored Form
Graphing a Quadratic Function in Factored Form
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4
5
6
Multiple Choice
What are the x-intercepts of
f(x)=(x+3)(x+8) ?
(3,0) and (8,0)
(-3,0) and (-8, 0)
(-3, 0) and (8,0)
(3, 0) and (-8, 0)
7
Multiple Choice
What are the x-intercepts of
y=(x−6)(x+4) ?
(3, 0) and (-2, 0)
(-6, 0) and (4, 0)
(6, 0) and (-4, 0)
(-6, 0) and (-4, 0)
8
Multiple Select
What are the x-intercepts of
f(x) = (x−3)(x+8) ?
x = 3
x = -8
x = -3
x = 8
9
We know that factored form gives us the x-intercepts. How do you find the vertex?
Since Parabolas are symmetric, the x coordinate of the vertex will lie mid way between the two x-intercepts.
Plug in that x into the equation to find the y-coordinate.
10
Multiple Select
What is the mid point between x = 2 and x = -4?
x = -1
x = 0
x = -2
11
Fill in the Blanks
We know that the function
f(x) = (x−2)(x+4) has x-intercepts at x = 2, and x = -4. The midway between x =2 and x = -4 is x = -1. If you plug in x = -1 in the equation, what should you get as the y value?
Type answer...
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Identify the two x-intercepts.
Determine the x coordinate of the vertex; the midway between the two x-intercepts.
Plug the x coordinate of the vertex into the equation to find the y coordinate
use those 3 points to sketch the graph of the parabola.
14
has x-intercepts at (2,0) and (-4,0). We calculated the vertex to be (-1,9). Click on image to enlarge it.
15
Multiple Choice
Sketch the graph the function
f(x) = (x−3)(x+3)
16
Multiple Choice
What are the x-intercepts of the parabola?
y = -3(x + 5)(x - 9)
(-5, 0) and (9, 0)
(5,0) and (-9, 0)
(5, 0) and (9, 0)
(-3, 0) and (5, 0)and (-9, 0)
17
Multiple Choice
What are the x-intercepts of the parabola?
y = ¼(x + 2)(x - 6)
(-2, 0) and (6, 0)
(2, 0) and (-6, 0)
(-2, 6)
(¼, 0) and (-2, 0) and (6, 0)
18
Multiple Choice
Left
Up
Down
Right
19
Multiple Choice
What are the x-intercepts of the quadratic?
(2, 0) and (4, 0)
(-2, 0) and (-5, 0)
(2, 0) and (5, 0)
(-2, 0) and (-4, 0)
20
Multiple Choice
What is the green dot on the parabola called?
vertex
minumum
roots
zeros
21
Multiple Choice
Identify and classify the vertex.
(-6,5); minimum
(-6,5); maximum
(5,-6); minimum
(5,-6); maximum
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