Modelling Quadratic Relations
Transformation of the Parabola
Tranformation of the Parabola continued...
The Vertex Form of a Quadratic Relation
The Vertex Form of a Quadratic Relation conti
100
The graph of a quadratic relation is called
What is the parabola
100
The vertical translation for the quadratic relation: y = 3x^2-5 is the following
What is: translate 5 units down
100
The transformations that the constant a in the quadratic relation y=a(x-h)^2+k is responsible for are...
What are vertical stretch or compression.
100
The coordinates of the vertex are...
What is (h,k)
100
The vertex form of a quadratic relation is...
What is y = a(x-h)^2 + k
200
Point at which the axis of symmetry intersect the parabola
What is the vertex.
200
The horizontal translation for the quadratic relation: y = 2(x+5)^2 is the following
What is: translate 5 units to the left
200
The parabola y=5.67x^2+8.3 is vertically stretched or compressed and by what factor?
What is: vertically stretched by a factor of 5.67.
200
The direction of opening of the parabola y = -4.75x^2+6.4 is the following
What is downward.
200
If a>0, the parabola opens up and has a maximum or a minimum.
What is a minimum.
300
The special property of the second differences of a quadratic relation
What is: they are constant.
300
The vertical translation for the quadratic relation: y = 6(x-8)^2+4 is the following
What is: translate 4 units up
300
The parabola y=-0.43(x-7.5)^2+4.2 is vertically stretched or compressed and by what factor:
What is: vertically compressed by a factor of 0.43
300
The parabola y = 7.4(x+8.3)^2 has a minimum or a maximum.
What is a minimum.
300
If a>-1 and a<1, the parabola is vertically stretched or compressed.
What is vertically compressed.
400
The special property of the first differences of a quadratic relation
What is: they increase or decrease by the same amount
400
The horizontal translation in the quadratic relation: y = 9(x-4)^2-3 is the following
What is: translate 4 units to the right
400
The standard parabola (y=x^2) is vertically stretched by a factor of 1.72. Write its equation.
What is: y=1.72x^2
400
The standard pattern for a parabola is...
What is a, 3a, 5a
400
The axis of symmetry of the parabola y=-5.3x^2-9.7 is the following...
What is x = 0
500
The standard form of a quadratic relation is written by the following
What is y = ax^2 + bx + c
500
The Step Pattern for the quadratic relation: y = -1.5(x+0.5)^2+0.75 is the following
What is: -1.5, -4.5, -7.5
500
The graph of the quadratic relation y=-6.5(x+1.75)^2-3.25 is a reflection of what parabola? Write the quadratic equation of that parabola.
What is: y = 6.5(x+1.75)^2-3.25
500
The three steps you would take to graph the following parabola: y=-2(x-1)^2+3
What is: graph the vertex, find the direction of opening, use step pattern.
500
List all the tranformations of y = x^2 to produce the following quadratic relation: y = -7(x-2)^2+5
What are: shift 2 units to the right, shift 5 units up, stretch by a factor of 7 and reflect in the x-axis.
M
e
n
u