Vertex Form
Standard Form
Intercept Form
Radicals/Complex Numbers
Factoring
100
Does this graph open facing upward (smiley)
or open facing downward (frown)?
y = -1/2(x+8)^2 + 5
downward
100
Identify the a, b, and c values:
4x^2-5=24x
a=4
b=-24
c=-5
100
What are the x-intercepts?
y=(x-6)(x+2)
x=6
x=-2
100
At the 2024 Grammy Awards, this pop superstar made history by winning Album of the Year for a record-breaking fourth time with her album Midnights.
Who is Taylor Swift?
100
In this hit Netflix sci-fi series set in the 1980s, a group of teenagers frequently enters a terrifying alternate dimension known as the "Upside Down."
What is Stranger Things?
200
How is this being translated?
y = (x-4)2+6
translated right 4 units
translated up 6 units
200
What is the axis of symmetry of the following quadratic:
y=2x^2-8x+12
x=2
200
What is the axis of symmetry?
y=(x-7)(x+3)
x=-2
200
simplify the radical
4sqrt(-72)
24isqrt(2)
200
Factor the following:
22x^3-14x^2
2x^2(11x-7)
300
What is the equation of the quadratic described by the following transformations from the parent function:
- translated 5 units down
- translated 3 units left
- reflected over the x-axis
- vertically compressed by a factor of 1/3
y=-1/3(x+3)^2-5
300
What is the vertex of the quadratic:
y=1/2x^2+10x+15
(-10, -35)
300
Convert this quadratic to intercept form:
y=x^2+4x-21
y=(x-3)(x+7)
300
Launched by OpenAI, this viral AI chatbot became the fastest-growing consumer application in history shortly after its November 2022 release.
What is ChatGPT?
300
Factor the following:
9x^2-64
(3x+8)(3x-8)
400
What is the equation of this graph in vertex form?
y=-2(x-3)^2+2
400
In William Shakespeare’s Romeo and Juliet, Romeo belongs to the House of Montague, while Juliet belongs to this rival house.
What is the Capulet house?
400
What is the equation of this graph in intercept form?
y=-1/2(x+5)(x+1)
400
simplify as much as possible
6/(2+4i)
(3-6i)/5
400
Factor the following:
3x^2-24x+36
3(x-2)(x-6)
500
Convert from standard form to vertex form:
y=x^2-8x+11
y=(x-4)^2-5
500
Graph the quadratic using a min. of 5 points
y=1/4x^2-3x+7
Must show all work, including:
- computations for finding vertex
- scale factor chart
500
A quadratic has x-intercepts of (3, 0) and (-1, 0) and goes through the point (2, -6). What is the equation of this quadratic written in intercept form?
y=2(x-3)(x+1)
500
With the atomic number 79, this precious metal's chemical symbol is Au, deriving from the Latin word aurum.
gold
500
Factor the following:
6x^3-22x^2-8x
2x(3x+1)(x-4)