MEET THE PARENTS
SHIFT HAPPENS
FLIPS & STRETCHES
STRAIGHT TALK
ABSOLUTELY POSITIVE
Just For Fun
100
Name the parent function of every linear function
f(x)=x
or
y=x
100
Describe the transformation: g(x) = x² + 6
Translated up 6
100
What does the negative sign do in g(x) = −x²?
Reflects the graph in the x-axis
100
State the slope formula
m = (y₂ − y₁) / (x₂ − x₁)
100
Solve: |x| = 7
x = 7 or x = −7
100
An octopus has this many hearts
3
200
This is the name of the U-shaped graph of f(x) = x²
A parabola
or
200
Describe the transformation: g(x) = |x − 4|
Translated right 4
200
Compare g(x) = 4x² to the parent f(x) = x².
Vertical stretch by a factor of 4
200
Find the slope of the line through (2, 5) and (6, 13).
m = 2
200
Rewrite |x| < 5 as a compound inequality
−5 < x < 5
200
Which animal can move its eyes independently?
chameleon
300
Name the parent function graphed below
f(x) = |x| — the absolute value parent function
300
The dashed graph is the parent function. Describe the transformation that produces g(x).
Right 3 and down 4 → g(x) = (x − 3)² − 4
300
Compare g(x) = (1/3)|x| to the parent f(x) = |x|.
Vertical shrink by a factor of 1/3
300
Write the equation of the line with slope −3 and y-intercept 7
y = −3x + 7
300
Rewrite |x| > 3 as a compound inequality
x < −3 or x > 3
300
How do snakes smell?
Through their tongue
400
Give the domain and range of f(x) = |x|.
Domain: all real numbers Range: y ≥ 0
400
Write the function: the absolute value parent shifted left 7 and up 3
g(x) = |x + 7| + 3
400
The dashed graph is the parent function. Describe ALL transformations that produce g(x), then write its equation
Reflection in the x-axis, vertical stretch by 2, translated up 5 → g(x) = −2|x| + 5
400
Write the equation of the line graphed below in slope-intercept form.
y = 2x − 3
400
Solve |x − 2| ≤ 6 and graph the solution on a number line.
−4 ≤ x ≤ 8
400
What is the only letter that doesn't appear in any US state name?
Q!!
500
For g(x) = 2(x − 3)² + 1, name the parent function and give the vertex
Parent: f(x) = x² Vertex: (3, 1)
500
Give the vertex of y = |x − 6| + 9
(6, 9)
500
Write it: the quadratic parent reflected in the x-axis, stretched vertically by 3, right 1, down 4
g(x) = −3(x − 1)² − 4
500
A gym charges a $50 sign-up fee plus $25 per month. Write the linear model and find the total cost after 8 months
C(m) = 25m + 50 C(8) = $250
500
Solve: |2x + 1| > 9
x < −5 or x > 4
500
What is the name of the pet dinosaur on the TV cartoon "The Flintstones"?
Dino