Transformation Station
Algebra Antics
Investigate & Relate
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Quadratic Queries
100
Write a possible equation for this function:
y=x^3-4
100
Solve for x:
x-20=4-3x
x=6
100
What are the x intercepts of this function?
y=(x-3)(x+7)
x=3 and x=-7
or
(3,0) and (-7,0)
100
What is the only even prime number?
2
100
Write the following quadratic in vertex form:
y=x^2+2x-4
y=(x+1)^2-5
200
Write a possible equation for this function:
y=1/(x-2)+5
200
Solve the system:
y=2x+5
y+5=6x
(2.5, 10)
200
What is the y intercept of this function?
hint: y intercept is when x=0
y=(x-1)^3-3
(0, -4)
200
This is the Brandenburg Gate. Where is Ms. Flowers in this photo?
Berlin, Germany
200
What is the vertex of this parabola?
y=(x+5)(x-3)
(-1, -16)
300
Write an equation for a square root function that has been shifted to the left 3 units, up 6 units, and reflected across the x axis.
y=-sqrt(x+3)+6
300
Solve the system:
y=x^2+2x-1
y=-4x+6
(-7,34) and (1,2)
300
What is the y intercept of this function? Write your answer as a coordinate point.
y=(x-2)(x+12)
(0, -24)
300
Simplify this radical
sqrt75
5sqrt3
300
Liam throws a baseball from a height of 5 feet so that its highest point is 30 feet away and 15 feet high. Sketch a graph and write an equation to model the path of the baseball.
y=-10/900(x-30)^2+15
400
Write the equation for this function:
y=-2abs(x-3)+4
400
Solve for x:
7x^2=9+2x
x=-1 and x=9/7
400
What is the domain and range of this function?
D: [2, oo) R: [5, oo)
400
BONUS
400
Write an equation of a parabola with a vertex at (-9, -4) that opens upward and passed through the point (-13,0)
y=1/4(x+9)^2-4
500
Write an equation for a circle with its center at (3,-4) and a radius of 6.
(x-3)^{2}+(y+4)^{2}=36
500
Find where these functions intersect:
f(x)=2x^2+10x-5
g(x)=-3x^2+10
(1,7) and (-3, -17)
500
What is the range of this function?
y=x^{2}-10x+16
R: [-9, oo)
500
Muḥammad ibn Mūsā al-Khwārizmī helped establish “algebra” as a new field of mathematics around 820 CE. The term comes from the word al-ğabr in his book, which is written in what language?
Persian
500
Ms. Flowers saw this building in Chicago last week that had a parabola design on the bottom. She calculated the full length of the parabola to be about 200 feet. The highest point of the parabola was 12 stories high (each story is about 10 feet). She was like, "I'm going to make my students write a possible equation for this!!"
y=-.012(x-100)^2+120