Formulas

Question 1

Slope of a Line =

Answer 1

y = mx+b

Question 2

Point Slope form :

Answer 2

y-y₁ = m(x-x₁)

Question 3

Equation of a Circle :

Answer 3

(x-h)²+(y-k)²= r²

Question 4

Value of C when completing the Square :

Answer 4

(-b/2a)**²

Question 5

The Distance Formula :

Answer 5

^½((x-x₁)²+(y-y₁)²)

Question 6

The Midpoint Formula:

Answer 6

(X₁+X₂)/2, (y₁+y₂)/2

Question 7

To find x-intercepts :

Answer 7

Set y=0

Question 8

To find y intercepts

Answer 8

Set x=0

Question 9

To test for symmetry about the x axis :

Answer 9

replace y with -y and simplify, if the resulting equation is equal to the original, it is symmetric.

Question 10

To test for symmetry about the y axis

Answer 10

Replace x with -x and simplify, if the resulting equation is equivalent to the original, it is symmetric.

Question 11

To test for symmetry about the origin :

Answer 11

Replace x,y with -x,-y, if the resulting equation is equivalent to the original, it is symmetric to the origin

Question 12

A function is odd when:

Answer 12

After multiplying by -1, all of the signs of the equation swap

Question 13

A function is even when:

Answer 13

After multiplying the equation by -1, the same equation results.

Question 14

The Average rate of Change :

Answer 14

The slope of two points on a curve.

Question 15

The General form of a Circle :

Answer 15

x²+ y² + ax +by + c = 0

Question 16

If a function has (x) + k, it is shifted :

Answer 16

upward k units

Question 17

if a function has (x +h) it is shifted :

Answer 17

to the left, h units

Question 18

if a function has a(x) and a is between zero and 1, then the graph is :

Answer 18

The Graph is widened,

(vertical compression)

(horizontal strectch)

Question 19

If a function has a(x) and a is greater than 1, the graph is :

Answer 19

The graph is narrower

(vertical Stretch)

(horizontal Compression)