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Properties of Quadratics
Max and Min
Solving Quadratic Equations
Linear-Quadratic Systems
Transformations and Graphing
100
This is the shape of a quadratic function.
What is a parabola?
100
On a quadratic function, this is the point that will be the maximum or minimum of the function.
What is the vertex?
100

This is another name for a root, or an x-intercept.

What is a zero or solution?

100
This term describes the point where two or more lines meet.
What is an intersection?
100

Describe the transformations of g(x)=x2-3

Down 3

200
It is the general formula for the vertex form of a quadratic function
What is y = a(x - h)2 + k?
200
We can use this form of the quadratic function to easily identify the function's maximum or minimum.
What is vertex form?
200
It is represented by the expression b2 - 4ac.
What is the discriminant?
200
This is the number of intersection points a linear-quadratic system will have if the discriminant is equal to 0.
What is 1 intersection point?
200

Write a function from the following transformations of f(x)=x2: vertical stretch by factor of 4 and a reflection in the x-axis, followed by a translation 2 units up.

f(x)=-4x2+2

300

You would use this form of a quadratic function if you wanted to know the function's x-intercepts.

What is Intercept or Factored Form?

300
For the function x + 5x + 4, the vertex point will be this.
What is a minimum?
300
The solutions for the equation 2x2 - 10x - 12 = 0.
What are x = 6 and x = -1?
300
These are the intersection points between the functions y = x + 1 and y = x2 - 2x - 3.
What are (-1, 0) and (4, 5)?
300

Describe the transformation and identify the vertex: f(x)=0.5(x-1)2

Vertical shrink by 0.5, translation one unit right

Vertex (1,0)

400

These are what transform a function. 

What are parameters? (a,b,h,k)

400

It is the vertex point for the function 2(x-2)2+5.

What is (2,5)?

400
The solution to the equation 2x2 + 5x + 3 = 0?
What are x = -3/2 and x = -1?
400
These are the intersection points between the functions y = 4x - 3 and y = x2 + 2x - 2.
What is (1, 1)?
400

Determine the vertex, axis of symmetry, and zeros of the function: f(x) = -2x2+12x+80

vertex: (3,98)

axis: (2)

zeros: -4, -10

500
The name of the line that divides a quadratic function exactly in half.
What is the line (or axis) of symmetry?
500

Find the minimum or maximum value of f(x)=4x2+16x-3. Find the domain and range of the function.


What is -19? What is all real numbers (domain) and y greater than or equal to -19 (range)?

500
The solution to the equation x2 - 7x + 13.
What is no solution?
500
These are the intersection points between the functions y = -2x + 3 and y = -2x2 + 3x - 1.
What is no solution?
500

Write the function of a quadratic that has a vertex at (4, -16).

f(x)= (x-4)2-16