The parent function given by the equation f(x)=mx+b
What is a LINEAR FUNCTION?
Describe the transformation in the given equation:
f(x)=2(x-4)+1
Linear function
Stretches by 2
Moves right 3
Moves up 1
Graph the transformation given by the graph:
g(t)=(x-2)^2+3
What is
y = (x + 10)2-3
a = 1
c = 10
d = -3
True or False: Ms. Mathew teaches English.
TRUE
The Parent Function given by the graph:
What is a Squaring Function? (Quadratic Function)
Describe the transformation in the given equation:
h(x)=-1(x+8)^2-2
Quadratic Function
Reflects down/Compresses
horizontal shift left 8
vertical shift down 2
Graph the transformation given by the equation:
f(x)=-sqr root(x+2)+0
What is:
Given
k(x)=2sqrt(x-5)+9
a = 2
c = -5
d = 9
How many weeks have we been in school?
3 weeks
The equation of an Absolute Value parent function.
What is
f(x)=|x|
Describe the transformation that is occurring in the graph below
What is an absolute value function with a horizontal shift to the left 3 units, a reflection over the x-axis, and a vertical shift upward 3 units.
Absolute value function
Reflected down
Moved left 3
Moved up 3
Describe the domain and range of the graph:
What is domain:
(- infty, + infty)
What is range:
[-3, infty)
y = -0.5|x+7|+20
a = -0.5
c = 7
d = 20
True or False: Ms O'Rougraduated from Mifflin School.
FALSE
The function whose equation resembles a V.
What is an Absolute Value function?
Describe the parent function and any transformations.
y = -2(x +9) - 4
Linear function
Reflects down and vertical stretch of 2
Horizontal shift left 8
vertical shift down 4
When graphing, what letter do I have to think of the opposite about?
horizontal shift and stretches (H)
Given
f(x)=-sqrt(x+3)+10
a = -1
h = 3
k = 10
What are the names of Ms. O'Rourke's dogs?
Cody and Luna
What function looks like a U?
What is a Quadratic function?
Describe the transformation from the original parent function (red) to the transformation (blue).
Reflects down
Horizontal shift right 5
vertical shift up 4
parent function is quadratic
Horizontal sift right 3
vertical shift down 6
y = (h-3)2 - 6
Given
v(t)=(x+2)^3+12
a = 1
h = 2
k = 12
True or False: Ms. O'Rourke's birthday is in March.
FALSE!!