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Level 487

## Ignore words

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[1/2(x1+x2), 1/2(y1+y2)]
What is the Midpoint formula of a line segment with endpoints (x1,y1) and (x2,y2)?
0
What is the origin of a coordinate plane?
x-axis (horizontal line)
What is the first-coordinate axis?
y-axis (vertical line)
What is the second-coordinate axis?
Q1: I (Top Right)
How are the quadrants labeled and what is their location?
Cartesian Plane or Cartesian Coordinate System
What is another name for the coordinate plane?
Q1: I: (+,+)
What are the positive and negative values of x and y for each quadrant?
d= √(x1-x2)^2 + (y1-y2)^2
What is the Distance Formula between two points, (x,y) and (x2,y2), on the Coordinate plane?
What is the general form of a Quadratic?
ax^2 + by + c = 0 or f(x)=ax^2 + by + x: f(x)=y
f(x) = a(x-h)^2 +k
What is Standard vertex Form?
x=(-b±√b^2-4ac) / (2a)
what is the Vertex of a Parabola?
(h,k) = (-b/2a , f(-b/2a)), or (-b/2a , c- (b^2/4a)), or (-b/2a , (4ac-b^2)/ 4a)
r=√(x-h)^2 +(y-k)^2
What is the Equation of a Circle?
A unit Circle
x^2 + y^2 =1 produces what on the coordinate plane?
Standard Form: (x-h)^2 + (y-k)^2 = r^2
What is the standard form of the equation of a circle?
how do you complete the square of a circle?
x^2 + y^2 + ax + by = C
A Graph is symmetric to a line when?
The portion of the graph on one side of the line is the mirror image of the portion on the other side.
if (-x,y) is on the graph whenever (x,y) is too.
At what points does a graph of an equation have y-axis symmetry?
if (x,-y) is on the graph whenever (x,y) is too.
At what points does a graph of an equation have x-axis symmetry?
What is origin symmetry of a graph?
The graph of an equation has origin symmetry if (-x,-y) is on the graph whenever (x,y) is on the graph.
Straight
Equations of the form Ax + By = C have graphs that are ______________ Lines?
Axis Intercepts
the points (o,2) and (3,0) are what type of intercepts of the graph?
What is the purpose of an equation?
to indicate that two mathematical expressions are equivalent.
What does identity mean in relation to an equation?
The equation is true for all values of the variable for which the equation is defined. a=a (-∞,∞)
What does conditional mean in relation to an equation?
The equation is true for some values of a variable, but not all. x=a : Satisfied by at least one real number but is not an identity.
What is an inconsistent equation?
An equation that is false or has no solution.
Undefined.
If a fraction has a zero as the Value for the denominator the fraction is considered what?
csc
1/sin
sec
1/cos
cot
1/tan,
tan
1/cot,
cos
1/sec
sin
1/csc
sin^2+cos^2=
1
tan^2+1=
sec^2
1+cot^2=
csc^2
sin(-t)
-sint
cos(-t)
cos(t)
tan(-t)
-tan(t)