Formulas to know for chapter 6 test

Pythagorean theorem
a^2+b^2+c^2

sin angle

tengant

The tangent of the angle at B is equal to the length of the side opposite the angle, divided by the length of the side adjacent to the angle.

Remember that the hypoteneuse side is different to the adjacent side. The hypoteneuse is the side opposite the right-angle. It is always the longest side of a right-angled triangle.

So the opposite side divided by the adjacent side is AC/AB, answer c).

the work

I.When you are given a point (x, y) and a vertex (h, k)

• y = a(x - h)^2 + k
• plug the point in for x and y, plug in h and k, solve for a
• plug a, h, and k into the stander form of a parabola

II. When you are given the x intercepts p and q and a point (x,y)

• y = a(x-p)(x-q)
• then plug in the y at the end and then a(x-p)(x-q) and its = to y
• solve for a
• supsto a, p and q into the equation

III. Given three points

• y=ax^2+bx+c
• you plug in a,b and c then when u solve for them you well get your answer for your problem.
• Then your a,b and c well have there number so then you well be right

the differents of (K ) (A) (H)

K: moves it up and down
A: It tells u the thickness, and if the a is negative then it opens down. if positive, it opens up.
H: it move left to right if its negative it move to right and if its postive it move to the Left .

the letter(H)

H moves left and right

K letter

K moves the quadratic equation up or down.

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Graphing quadratic equations A

The a variable determinesthe narrowness of the quadratic equation. The quadratic equation is facing down cuz the A is negative.if the A is positive the equation opens up.

formula s

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