Vocab/Concepts
True or False:
Absolute value terms cannot be negative.
True! (only positive or zero)
Which of the following equations has no solution for x?
A) |x + 5| = 6
B) |x – 3| = 0
C) |x + 8| = -2
D) All of these equations have at least one
solution.
C) |x + 8| = -2
Describe the translation of the graph of y=|x-3|+7
Shifts 3 units to the right, and 7 units up.
Find the vertex and "a" for graph G5.
Vertex: (-3, 0)
a= 1
How many cents is a Nickle? How many cents is a Dime?
Nickle = 5 cents
Dime = 10 cents
What is the definition of absolute value?
Absolute value of a number is the distance on the number line from 0 to that number.
What is the sum of the two solutions to the equation |4x + 4| = 8?
A. -3
B. -2
C. 1
D. 2
B) -2
Describe the translation of the graph of y=|x+2|-3
y=|x-(-2)|-3
Shifts 2 units to the left, and 3 units down
Find the vertex and "a" for graph G3.
Vertex: (-1, 0)
a = 3
Who stole the microphone from Taylor Swift in the Grammy's?
Kanye West
How many solutions can absolute value equations have?
The equation 5|2x – 3| + 6 = 13 has two solutions. What is the sum of these solutions?
A) 2.2
B) 3
C) 7
D) 9.5
B) 3
f(x)= -1/3 |x +5| - 3
What is the vertex, and which way does the graph open?
Vertex: (-5, -3)
Opens: down
What is the equation for the graph G5?
f(x) = |x + 3|
"May the force be with you."
What movie is this quote from?
Star Wars
f(x) = a |x-h| + k
What is "a" , and how does it transform the graph?
"a" is the slope of the right side of the graph.
It changes the vertical stretch of the v-shape (narrower or wider V).
If a is positive, graph faces up. If a is negative, graph faces down.
3| 4n – 1 | + 5 = 5
Solve the equation above for n.
A) 1/4
B) −1/2 or 1
C) 0 or 1/2
D) No real solution
A) 1/4
Describe the transformation of the graph of
f(x) = -|x|+7
Opens down. Shifts 7 units up.
What is the equation for graph G1?
f(x) = |x – 1| – 3
Which of these words is spelled incorrectly?
a) applied
b) jogged
c) grabed
d) sighed
c) grabed
The correct spelling is "grabbed"
Which of these is NOT a characteristic of the graph of the parent function y = |x| ?
a) the axis of symmetry is the y-axis
b) right side has slope of 1, and left side has slope of -1
c) x is positive or zero only, and y is any real number
d) vertex is at the origin
"c) x is positive or zero only, and y is any real number" is not true about y=|x|!
x can be any real number, but y is only zero or positive
Solve for m:
25 = 2|6m + 5| – 1
m = -3 or 4/3
Describe the transformation for the graph of
f(x)=-2|x-3|-8
Opens down. Narrower. Shifts 3 units to the right. Shifts 8 units down.
What is the equation for the graph G2?
f(x) = –|x| + 2
Choose the right answer:
a) choose a!
b) this one is the winner
c) it might be this
d) the right answer
d) the right answer