Linear Functions
What is the equation of a linear function that is shifted up 2 and vertically stretched by 3?
y=3x+2
What is the equation of the parent function of a quadratic?
y=x2
What is the vertex of g(x)=-2|x-2|+3?
(2, 3)
What is the term for the vertex of a cubic function?
inflection point or point of inflection
How many months have 28 days?
12 or all of the months
What is the equation of a linear function that is reflected over the x-axis and shifted up 3
y=-x+3
What are the transformations of a quadratic with the equation f(x)=2(x-1)2+3
Vertically stretch 2
Translate right 1, up 3
What is the equation of an absolute value function that is vertically compressed by 0.5 and has a vertex of
(10, 15)?
What is the equation for the parent graph of a cubic function?
f(x)=x3
What is the only number that cannot be represented with roman numerals?
0
What is the slope between the points (-3, 5) and (6, 7)?
2/9
Write the equation of a quadratic function that is reflected over the x-axis and translated right 3, down 7.
f(x)=-(x-3)2-7
What is the equation of an absolute value function that is reflected over the x-axis, vertically stretched by 3, and translated left 5 then up 9?
f(x)=-3|x+5|+9
What are the transformations of t(x)=-3(x+8)3-11
Reflect over the x-axis
Vertically stretch by 3
Left 8
Down 11
What number do the opposite sides of a dice ALWAYS add up to?
7
I have 50 brownies. Each day, I eat 1.5 brownies. After how many days will I have 8 brownies left?
28 days.
Write the equation of a quadratic function in vertex form with a=1 and x-intercepts at (-4, 0) and (6, 0).
f(x)=(x-1)2-25
What is the equation of an absolute value function that is reflected over the x-axis and translated down 20?
f(x)=-|x|-20
(-infinity, infinity)
111,111,111 * 111,111,111 =
12,345,678,987,654,321
Write the equation of a line in slope intercept form that passes through the points (3, 7) and (6, 8)?
y=1/3x+6
A model rocket is launched into the air from the ground, reached a maximum height at 625 feet, then landed back on the ground 50 feet horizontally from the launch site. What is the equation in vertex form that represents the rockets motion.
f(x)=-(x-25)2+625
What are the increasing and decreasing intervals of the function f(x)=-|x-1|+3
Increasing: (-infinity, 1)
Decreasing: (1, infinity)
What is the y-intercept of g(x)=2(x+1)3+1?
(0, 3)
What famous sequence do the spirals in sunflowers follow?
Fibonacci