Multi-Step Equations
4( x-3)-x=x-6
What is x=3?
5/p + 5 = -10
What is - 1/3?
What are the zeros of a function?
the domain of f(x)=x^2
What is (-infinity, infinity)?
_________ is a transformation that maps each point to a new point across a given line.
What is a reflection?
3(x+6)=5x-2
x=10
1/x + 5 = 7
What is x = 1/2?
the range of f(x)=x^2
What is [0,infinity)??
The graph of f(x)=2(x-4)+3
Figure 1
-8(y+4)=10y+4
What is y=-2?
12/x - 1 = 2
What is 4=x?
_________Decreases the distance between points on a graph
_________Increases the distance between points on a graph
What is a compression and stretch?
This is the highest or lowest point of a parabola. When you look at an equation in vertex form, this point is (h,k).
What is the vertex?
the graph of f(x)= 1/2 (x+4) - 3
Figure 2
2(y-3) = 4y+x
y=-6
-2/a + 7 = -3
This type of function pairs every input in an interval with the same output value
What is a step function?
What is k?
The zeros of this graph are -3 and 3.
Figure 3
-3(x-4)+5=-2x-2
What is x=19?
100/z - 13 = 7
What is z=5?
a type of function that has different rules for different parts of its domain
What is a piecewise defined function?
This letter in the vertex form of a quadratic function moves the graph left or right.
What is h?
7-5X=10-(6X+7)
What is x=-4?