Vocabulary
Transformations
Vertex Form
Transformations from Graphs
Transformations from Equations
Standard Form
100
What do you call the shape of a quadratic equation?
A Parabola
100
A negative a value does what to a parabola
Reflects it over the X-Axis (flipped/upside down)
100
y = -2(x-2)2+7
What is a, h, and k?
a = -2
h = 2
k = 7
100
The transformation from the parent function to the graph on the image below:
A horizontal shift left 2 units
100
The transformation that occurs in the quadratic function
f(x)=x^2+3
A vertical shift up 3 units
100
How do you find the x intercepts of a quadratic equation?
Factor the quadratic, then set factor equal to zero and solve for x.
200
The lowest or the highest possible point of a parabola is...
The Vertex
200
The h value of a parabola does what to it?
Shifts it left if negative or right if positive.
200
What is the vertex of: y = (x+3)2-2
(-3,-2)
200
The transformation that occurs from the parent function to the graph below
A vertical shift down 3 units
200
The transformation that occurs in the quadratic function
f(x)=(x-3)^2
A horizontal shift right 3 units
200
What is the y - Intercept of: y=x2+3x-5
y = -5 or (0,-5)
300
A vertical line that slices the parabola in half. Its equation is written as x= , where x is the x value of the vertex
The Axis of Symmetry
300
The k value does what to a parabola?
Moves it up if it is positive or down if it is negative.
300
What is the vertex of: y = -2(x-5)2+12
(5,12)
300
The transformations that occur from the parent function to the graph below
A horizontal shift right 3 and a vertical shift down 2
300
The transformation that occurs in the quadratic function
f(x)=2x^2
A vertical stretch of 2
300
What are the x - intercepts of: y=x2+4x-12
x=-6 and x=2
(-6,0) and (2,0)
400
This word describes a vertex that is the lowest point (Hint: this means the parabola is facing upward: U)
A Minimum
400
|a|>1, what transformation occurs?
A vertical stretch
400
Make a graph of y = (x-2)2+7
Mr. Alcazar will decide who gets the points
(This isn't advanced enough for me to graph the answer)
400
The transformations from the parent function to the graph below
What are a horizontal shift left 5 units and a vertical shift up 1 unit?
400
The Transformations that Occur in the Quadratic Function
f(x)=1/3(x+2)^2-4
A vertical compression of 1/3, a horizontal shift left 2, and a vertical shift left down 4
400
What are the x-intercepts of y=x2-3x-10
x = 5 and x = -2
(5,0) and (-2,0)
500
What is the name of the points where the Parabola crosses the x-axis?
X Intercepts or Zeros or Roots
500
If 0<|a|<1, which transformation occurs?
A vertical Compression
500
Make a graph of y = -(x+1)2-4
Mr. Alcazar will decide who gets the points.
(I cannot graph on here).
500
The transformations from the parent function to the graph shown below
A reflection over the x-axis, a horizontal shift right 3 units, and a vertical shift up 2 units?
500
The transformations that occur in the quadratic function
f(x)=-5(x-3)^2+6
A reflection across the x-axis (flipped/upside down), a vertical stretch of 5, a horizontal shift right 3 units, and a vertical shift up 6 units
500
What is the axis of symmetry of: y=x2+4x-5
x = -2