
Root, Zero, Y Intercept and Axis of Symmetry,
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
+1
Standards-aligned
Michelle (SUB)
Used 4+ times
FREE Resource
6 Slides • 15 Questions
1
2
3
Multiple Select
X-Intercepts are Also Called:
(Choose all the apply!)
Solutions
Roots
Zeros
Puppies
Parabolas
4
Multiple Choice
Given a graph, how can you find the "solutions" to a quadratic (parabolas)?
Call a friend
Plug into a calculator
Solutions are where the quadratic crosses the x-axis
A Magic-8 Ball
5
6
Multiple Choice
What are the solutions, zeros, or x-intercepts of the graph?
(-4,0) and (0,0)
(0,0) and (4,0)
(-2,2)
None
7
Multiple Choice
What are the real roots (solutions) of the quadratic y = 2x2+4x+5
(-1,3)
(0,5)
(5,0)
No Real Roots
8
Open Ended
Graph the given function using desmos:
f(x)=-3(x-6)²
What are the Root/Zeros of the Function?
9
10
Multiple Choice
The y-intercept can be found on the:
x-axis
y-axis
The Moon
11
Multiple Choice
What is the y-intercept of this graph?
y=2x²+4x+5
(-1,3)
(0,5)
(5,0)
No Real Roots
12
Open Ended
Graph the given function using desmos:
h(x)= (x-5)² (x+3)
What are the Root/Zeros of the Function?
13
Open Ended
Graph the given function using desmos:
h(x)= (x-5)² (x+3)
What is the y-intercept?
14
Multiple Choice
Which of these shapes is symmetrical?
15
16
Open Ended
Graph the given function using desmos:
h(x)= x(x-2)
What are the Root/Zeros of the Function?
17
Open Ended
Graph the given function using desmos:
h(x)= x(x-2)
What are the Y-Intercepts of the Function?
18
Open Ended
Graph the given function using desmos:
h(x)= x(x-2)
Where would the axis of symmetry be?
19
Open Ended
You are the sales manager for the ferry service that carries passengers from the mainland to the Ohio Islands. Currently the fare is $10.00 per person and it carries 300 people per day. The research shows that the company will lose 15 passengers per day for each increase of $1.00 in the fare. The sales manager uses the function shown to model its daily profit based on the number of $1.00 increases.
f(x)=(300-15x)(x+10)
What is the minimum number of $1.00 increases to avoid a loss? (Break even)
20
Open Ended
You are the sales manager for the ferry service that carries passengers from the mainland to the Ohio Islands. Currently the fare is $10.00 per person and it carries 300 people per day. The research shows that the company will lose 15 passengers per day for each increase of $1.00 in the fare. The sales manager uses the function shown to model its daily profit based on the number of $1.00 increases.
f(x)=(300-15x)(x+10)
What is the maximum number of $1.00 increases to avoid a loss? (Break even)
21
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