Quadratic Attributes 1
Quadratic Attributes 2
Quadratic Transformations 1
Quadratic Transformations 2
Vertex Form
100
Does the following graph have a maximum or minimum? Identify the equation of the maximum or minimum. (Remember y=)
Maximum
y=8
100
Does the following graph have a maximum or minimum? What is the equation for the maximum or minimum? (Remember: y=)
Minimum
y= -9
100
What transformation is occurring in the following equation?
y=(x+3)^2
Shift left 3 units
100
Which transformation is occurring in the equation below?
f(x)=(x-7)^2
Shift right 7 units
100
What is the vertex of the following equation? (Remember, vertex is (h,k))
y=(x-3)^2+4
(3,4)
200
What is the vertex of the following graph?
(-2,8)
200
What is the vertex of the following graph?
(-1,-9)
200
What transformation is occurring in the equation below?
y=x^2+4
Shift up 4 units
200
What transformation is occurring in the equation below?
y=x^2-6
Shift down 6 units
200
What is the vertex of the following equation? (Remember, vertex is (h,k))
y=(x+12)^2-5.5
(-12,-5.5)
300
What is the equation for the axis of symmetry for the following graph?
x= -2
300
What is the axis of symmetry of the following graph? (Remember: x=)
x= -1
300
What transformation is occurring in the equation below? (you must have ALL transformations written down in order to get the points)
y=-(x-3)^2+4
Reflect across the x-axis
Shift to the right 3 units
Shift up 4 units
300
What transformation is occurring in the equation below? (you must have ALL transformations written down in order to get the points)
y=-2x^2-9
Reflection across the x-axis
Vertical Stretch
Shift down 9 units
300
What is the vertex of the following equation? (Remember, vertex is (h,k))
y=(x+9)^2
(-9,0)
400
Which graph has no real zeros? (graph to the left, middle, or right)
Graph to the right
400
Which graph shows one real zero? (The graph to the left, middle, or right)
The graph to the left
400
What transformation is occurring in the equation below? (you must have ALL transformations written down in order to get the points)
y=(x+1/2)^2-5.5
Shift left 1/2 unit
Shift down 5.5 units
400
What transformation is occurring in the equation below? (you must have ALL transformations written down in order to get the points)
y=1/4(x-5)^2
Vertical compression
Shift right 5 units
400
What is the vertex of the following equation? (Remember, vertex is (h,k))
y=x^2-8
(0,8)
500
Identify the zeros of the following graph.
-4 and 2
500
Identify which statement/s are true about the following graph.
I. The Vertex is (-18,0)
II. The graph has two zeros.
III. The graph has a maximum value at y=-18.
II. The graph has two zeros.
The arrows indicate that the graph will eventually hit the x-axis twice
500
Write the equation in vertex form for the following transformation from the bold parabola to the new parabola. (Remember: y=a(x-h)2+k)
y=(x-3)^2-4
500
Write the equation in vertex form for the following transformation from the bold parabola to the new parabola. (Remember: y=a(x-h)2+k)
y=(x-2)^2+1
500
Convert the following equation from vertex form to standard form. (Vertex y=(x-h)2+k to Standard y=ax2+bx+c) Note: box method, distribute, then combine like terms.
y=2(x-3)^2-7
2x^2-12x+11