How do you find the midpoint?

How do you find symmetry with respect to the
1) X axis?

2) Y axis?

3) Origin?

X: Substitute (-X) for (X) and solve

Y: Substitute (-Y) for (Y) and solve

O: Substitute (-X) and (-Y) and solve

What is the circle equation?

X^2 + Y^2 = 9

 Find the radius and center

radius = 3

center = (0,0)

Y-intercept = 13

Slope = 3

y-y1=m(x-x1)

y-(-2)=3(x-1)
y+2=3x-3

y=3x-5

Find the slope intercept form of the equation of lines which pass through the point (2,-1) and

(a) are parallel to

(b) are perpendicular to

2x-3y=5

-3y=-2x+5

y=(2/3)x-(5/3)

m=(2/3)

(a) y=(2/3)x - (7/3)

(b) y=(-3/2)x+2

Evaluate the difference quotient of

f(x)=x^2-4x+7

Find [f(x-h)-f(x)]/h

How do you find the zeros of a function?

Find the average rate of change from x1=-2 to x2=0

Find the equation of a line which passes through (1,3) and (4,0)

Slope = -1

then use point-slope form:

y=-x+4

f(x)=-x+4

Narrow                Widen              Narrow  

<------------|---------------|-------------|----------->     -1                 0               1   

(1) Leave a space

(2) Factor to get (a)

(3) Find midterm and (+-) it

(4) Take out middle term and multiply by (a)

(5) factor, simplify, and you're done.

f(x)=[2(x+2)^2]-1

Find the axis of symmetry then:

(1) Input AoS for (x)

Ex: 2(AoS)^2 + 4(AoS) - 3

Simply "undo" the function so that:
f(x) = 4x

y=4x

x=4y

y=x/4