Math 2 Module Review

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

completing the square

(change standard to vertex) divide b by 2 and square it, insert it after b and as a negative after c

Factor Form

(x-r1)(x-r2) r1 and r2 are x-int

Quadratic Translation

+ up, - down, (+) left, (-) right

zero exponent

0

Solving a quadratic inequality

1) Rewrite the inequality so that 0 appears on the right side. 2) Factor, or complete the square. 3) Pick test numbers 4) test the chosen numbers

perpendicular bisector

A line that is perpendicular to a segment at its midpoint.

Reflection

A transformation that "flips" a figure over a mirror or reflection line.

Dilation

A transformation that changes the size of an object, but not the shape.

4 term factoring

Grouping, look for GCF (inside) (outside)

Side Splitter Theorem

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

triangle median

In a triangle, it is the line segment drawn from a vertex to the midpoint of its opposite side.

Quadratic Dilation

Multiplication: >1 stretch, 0<1 compress

2 Term Factoring

Perfect Square: (good twin) (bad twin)

SOH CAH TOA meaning

SOH (sin0=opposite/hypotenuse) CAH (cos0=adjacent/hypotenuse) TOA (tan0=opposite/adjacent)

Similarity Theorem

SSS or SAS or AA

Five ways to prove triangles are congruent

SSS, SAS, ASA, AAS, HL

Direct Variation

Y = kx, K = y/x

combined variation

Y=(kx)/z, K=yz/x

Complex numbers

a + bi (real + imaginary)

radical function

a function that contains the root of a variable

altitude

a line segment drawn from the vertex, perpendicular to the opposite side

transversal line

a line that intersects two or more lines, creating congruent and supplementary angles

angle bisector

a ray that divides an angle into two congruent angles

index number as the root of a to a power

a to the power of the power divided by the index

Vertex Form

a(x-h)^2+k

3 term factoring

ac X b (divide factors by a if a doesn't = 1)

Triangle angle sum theorem

all angles add up to 180

Standard Form

ax^2+bx+c

Rotation

circular movement around an axis such as the shoulder joint

Negative in exponents

flip to the other side of the fraction and turn positive

Translation

movement across a graph

x^2 times x^3

multiplication = addition x^(3+2)

double exponents

multiply (x^2)^3 = x^2 times 3

Quadratic Reflection

negatives: x axis, (y axis)

Imaginary #s

square root of -1 = i

angle of elevation/depression

the angle formed by a horizontal line and the line of sight to an object above (below) the horizontal line.

Quadratic Formula

x = -b ± √(b² - 4ac)/2a

rational function

y=1/x

Inverse Variation

y=k/x, k=xy

joint variation

y=kxz, k=y/xz


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