Find the solutions
Solutions of Quadratics on a graph
Find the Vertex by Finding the solutions
Testing Solution
Modeling Quadratics
100
Find the solutions for the following by factoring
f(x)=x2-2x-8
x=4 and x=-2
100
What are the solution(s) on this graph
x=1
100
What is the vertex of :
f(x)=x2-2x-8
(1,9)
100
Is x =4 a solutions of f(x)=x2+2x-8?
no
100
The __________ of a function corresponds to the x-intercepts of the function because they are when f(x)=0
zeros
200
Find the solutions for the following by factoring
h(t)=t2-9t+14
t=7 and t=2
200
What are the solution(s) of this graph?
no solutions
200
What is the vertex of :
h(t)=t2-9t+14
(4.5, -6.26)
200
Is x =-2 a solution of f(x)=3x2+5x-2
yes
200
What is the quadratic equation that represents the rectangular model? What is the area if x is 8? Show all steps for credit.
f(x)=2x2+10x+12 and area=220 units2
300
Find the solutions for the following by factoring
w(x)=x2+2x-8
x=2 and x=-4
300
What are the solution(s) of the blue graph?
x=2 and x=6
300
What is the vertex of :
w(x)=x2+2x-8
(-1, -9)
300
Is x =0 a solution of f(x)=3x2+5x-2
no
300
Camilyn is trying to build a garden that is x feet wide and 3x+2 feet long. She needs to figure out the area of her garden in order to properly plant her tomatoes, cucumbers, peppers and watermelons. If each plant needs 4 feet of space each, many plants can she plant?
BONUS OF 200: How many of each plant can she plant?
56 plants.
Bonus: She can plant 14 of each.
400
Find the solutions for the following by factoring
f(x)=x2+7x
x=0 and x=-7
400
This represents a rocket launcher. How long did it take for the rocket from take off to landing?
It took 5 seconds.
400
What is the vertex of :
f(x)=x2+7x
(-3.5, -12.25)
400
Use f(x)=x2+3x-4 to complete the table. Are there any solutions that are listed in the table, if so what are they?
Yes x=1
400
Paul hits a baseball straight up in the air. The baseball is hit with an initial velocity of 70 feet per second when it is 3.5 ft off the ground.
What quadratic function models the height h of the ball after t seconds in flight? and what is the height of the ball after a half second
𝘩(𝘵)=−𝟣𝟨𝘵2+𝟩𝟢𝘵+𝟥.𝟧
and 34.5 feet