Types of Quadratic Equations
Domain and Range
Solving Quadratic Equations
Transformations
Points of Interest
100
What is this form of the quadratic equation
f(x) = 2x^2 + 3x + 1
What is standard form?
100
The domain of this relation: {(0, 1), (-5, 10), (11, 13), (10, -2)}
What is {-5, -2, 0, 10, 11}?
100
A quadratic equation is given below
6x^2 = 12 - x
What are the factors used to determine the solutions and the solutions to the equation?
What is/are Factors: (2x+3)(3x-4); Solutions: x =-3/2, x=4/3 ?
100
This gives the vertical stretch factor in the vertex form,
f(x) = a(x-h)^2 + k, of a quadratic function.
What is "a"?
100
The minimum point on a parabola which opens up is also known as this:
What is the vertex?
200
This is the form of the quadratic equation
f(x) = -3(x + 5)(x - 4)
What is factored form?
200
The range of the relation {(1, 1), (2, 4), (3, 9), (-4, 16)}
What is {1, 4, 9, 16}?
200
The owner of a resale shop is analyzing the revenue for the year.Profit is modeled by the function p(x)=x^2-5x-50 where p(x) represents profit and x represents the number of items sold. How many items must he sell in order for his profit to be $300?
What is 10?
200
The transformation of the function f(x) = x^2 + 5
What is a vertical translation of five units up?
200
By setting a quadratic equation equal to zero and using the quadratic formula, you will find these points on the graph.
What are the x-intercepts?
300
This form of a quadratic equation can tell you the transformations the function.
What is vertex form?
300
The domain and range of the function y = x^2.
What is D: {x E R} and R: {y E R | y>= 0}
300
A quadratic function is given below.
f(x) = x^2 – 5x – 24
What are the solutions for the equation?
What are x=3 , x=-8?
300
The transformations of the function f(x) = -(x-3)^2?
What is a reflection in the x-axis and a horizontal translation of 3 units to the right?
300
This is the vertex of the function f(x) = -3(x+5)^2 - 1
What is (-5,-1)?
400
You could convert from the vertex form of a quadratic function to its standard form by doing this.
What is the box method and simplifying?
400
The range of the function f(x) = -2(x-5)^2 + 11
What is R:{y E R | y<= 11}?
400
A quadratic expression is shown below.
3x^2 + 7x – 6
What are the zeros of the function?
What are x = -3, x = 2/3 ?
400
These are the transformations of the function
f(x) = 3(x - 5)^2 -8
What is a vertical stretch by a factor of 3, a horizontal translation five units to the right and a vertical translation 8 units down?
400
These are the x-intercepts of the function f(x) = 3(x-2)(x+5)
What are (2,0) and (-5,0)?
500
The standard form of this equation: f(x) = 2(x+1)^2 -1
What is f(x) = 2x^2 + 4x + 1?
500
The domain of the relation -16x^2 + 16x + 6 = y
What is D:{-0.29 <= x <= 1.3}?
500
The height of an object is represented by the function
h(t) = 400 - 16t^2, where 400 represents the initial height in feet from which the object is dropped, and t represents the elapsed time in seconds. How many seconds will it take for the object to hit the ground?
What is 5 seconds?
500
The transformations of this function:
What is a vertical stretch by a factor of 2, a horizontal translation 1 unit right and a vertical translation 3 units up?
500
The vertex of this equation:
f(x) = (x + 3)^2 - 1
What is (-3, -1)?