Absolutes & Quadratics
What is a parent function?
The simplest form of a function from a given family.
What is the definition of a complex number?
Any number in the form of a + bi.
What does "ax^2 + bx + c = 0" refer to?
A quadratic equation.
What animal is known for its short, "bobbed" tail?
Bobcat
What food never spoils?
Honey
What do a, b, h, and k represent?
a represents a vertical stretch/compression
b represents a horizontal stretch/compression
h represents a horizontal translation
k represents a vertical translation.
3i
Find a, b, and c in 2x^2 - 10x - 3 = 0.
a = 2 | b = -10 | c = -3
What do cats do to promote self-healing?
Purring
What condiment was once used as medicine?
Ketchup
What transformation represents a vertical stretch by a factor of 5 of the function f(x)?
5f(x)
Convert "-3x^2 -12x + 1" into vertex form.
-3(x+2)^2 + 13
What should you do if "a" isn’t 1?
Divide both sides of the equation to make a = 1
What is a group of cats called?
clowder
What country’s flag has the most colors?
Belize (12 colors)
in 2f(1/2x - 5) + 4, which values affect the x axis and which affect the y axis?
x: 1/2, -5 | y: 2, 4
Solve: (3 + 2i) - (-4 + 7i)
7 - 5i
Solve: x^2 + 4x + 6
-2 + √2i, -2 - √2i
What is one insect that can taste with their feet?
Butterflies, flies, bees
What fruit is technically considered a berry?
Banana
The graph of f(x) is increasing on (-∞, 0) and decreasing on (0, +∞). What is true about the graph?
Possible Answer: The range of f(x) is (0, +∞)
Solve: -(4 - 7i)(2 + 3i)
-29 + 2i
Write f(x) = 4x^2 + 12x - 3 as c(x + a)^2 + b
f(x) = 4(x + 3/2)^2 - 12
What animal can hold its breath longer than dolphins?
Sloth
What animal has 32 brains?
Leech?