Imagine That
Peaks and Valleys
A Picture is worth a Thousand Words
Surprise Me
Name that Word
100
-16
4i
100
Does the function f(x)=-3x2+x+8 have a minimum or a maximum?
maximum
100
Simplify: (i3)2
-3
100
A U-shaped graph of quadratic equation is called ...
A Parabola
200
Find: -25x5
5x2xi
200
In the function f(x)=x2-4x+5 is there a max or min and what is that value?
A) max=1
B) min=1
C) max=2
D) min=2
D) min=2
200
Which of the following shifts to the mother function will occur when the quadratic equation y=-14(x+2)2-5 is graphed?
A) Parabola faces down, graph is narrow, shifts left 2, shifts down 5
B) Parabola faces down, graph is wide, shifts left 2, shifts down 5
C) Parabola faces down, graph is wide, shifts right 2, shifts up 5
D) Parabola faces down, graph is narrow, shifts right 2, shifts up 5
B) Parabola faces down, graph is wide, shifts left 2, shifts down 5
200
Name the vertex y= (x-3)2 +4
(3,4)
200
The highest / lowest point on a parabola.
Maximum / Minimum
300
Simplify (i)7
-i
300
Which ordered pair is the vertex of f(x)=x2+6x+5?
A) (-3,-4)
B) (-2,-3)
C) (-1,0)
D) (0,-5)
A) (-3,-4)
300
Which of the following most accurately describes the translation of the graph y=(x+3)2-2
to the graph
y=(x-2)2+2 ?
A) up 4 and 5 to the right
B) down 2 and 2 to the left
C) down 2 and 3 to the left
D) up 4 and 2 o the left
A) up 4 and 5 to the right
300
What is the equation of the parabola if the vertex is at (3,2)and its y intercept is -1?
A) y=-18(x+3)2+2
B) y=-13(x+3)2+2
C) y=-18(x-3)2+2
D) y=-13(x-3)2+2
D) y=-13(x-3)2+2
300
The line that runs through the vertex and divides the parabola in half.
Axis of Symmetry
400
Simplify: (2+5i)-(4-2i)
-2+7i
400
In the function f(x)=x2-8x+15, which of the following is the vertex?
A) (4,-1)
B) (4,23)
C) (-4,23)
D) (-4,63)
A) (4,-1)
400
Which of the following sentences is true about the graphs of
y=3(x-5)2+1 and y=3(x+5)2+1 ?
A) Their vertices are maximums
B) The graphs have the same shape with different vertices
C) The graphs have different shapes with different vertices
D) One graph has a vertex that is a maximum, while the other graph has a vertex that is a minimum.
B) The graphs have the same shape with different vertices
400
What is the equation of the axis of symmetry of the parabola defined by
y=12(x+7)2-4
A) x=7
B) x=-4
C) x=-7
D) y=-7
C) x=-7
400
This is the number before the x2 that determines whether a parabola opens up or down.
The Leading Coefficient
500
Simplify (5+i)(2-i)
11-3i
500
What is the vertex of y=-3(x-4)2?
A) (-3,-4)
B) (3,-4)
C) (4,0)
D) (-4,0)
C) (4,0)
500
y = ax^2 +bx + c
This form of quadratic equation is called ...
The Standard Form
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