math

Homework 5 1. Here is a list of equations in factored form and another list in vertex form.

ON A SEPARATE SHEET OF PAPER, Write each of the equations in factored form next to the equivalent equation in vertex form. Either show your work to justify each choice or explain your reason for it.

y = 2(x+4)(x–6) y=2(x+1)2 – 50 y = (x-2)(x-2) y = (x-2)2 y = (x-7)(x-11) y = (x-9)2 – 4 y = 2(x–4)(x+6) y = 2(x–9)2 –8 y = 2(x–7)(x–11) y = 2(x–1)2 – 50

2. Write the equation for each graph in factored form and in vertex form:

The value for ‘a’ in y=a(x-h)2+k, and y=a(x-p)(x-q) is given for each graph. a. a = 1

b. a = -1

(THIS HOMEWORK IS CONTINUED ON THE BACK OF THIS SHEET.)

c. a = 3

3. Write each of the equations below in standard form (ie. y = ax2+bx+c): a. y = 3(x–7)(x+4)

b. y = 2(x–3)2 + 5 c. y = –2(x+3)(x+5) d. y = –3(x–4)2 + 8 4. Find the area and perimeter of the shape below. Explain your work.