Chapter Sections 2.6 & 2.7 Flashcards
0
Q
New graph is vertically stretched if…
A
A>1
Ex) y=5x^3
1
Q
A new graph is vertically compressed if…
A
0<a><1</a>
Ex) y=1/2(x)
2
Q
New graph is horizontally compressed if…
A
A>1
Ex) (2x)^2
Reciprocal is 1/2 so graph is horizontally compressed by a factor of 1/2
3
Q
New graph is horizontally stretched if…
A
0<a><1
Ex) y=(1/3x)^2
Reciprocal is 3 so horizontally stretched by a factor of 3</a>
4
Q
What makes a reflection over the X axis?
A
Y= -f(x)
5
Q
What makes a reflection over the Y axis?
A
Y= f(-x)
6
Q
When showing steps of how to transform a graph…where do you start
Ex) -3(x+7)^2-5
A
You begin with whatever is in then go all the way to the left of the parentheses then work your way to the right
- Shift left 7
- Vertically stretch by a factor of 3
- Reflect over Y axis
- Go down five units
7
Q
Describe transformation
Y= -(-x-4)
A
- move 4 right
- Reflect over y
- Reflect over x
