algebra II 9/27

i^1

i

i^2

-1

i^3

-i

i^4

1

vertex form

y=a(x-h)^2+k

free fall formula

h(t)=1/2gt^2 + V0t + h0

vertex formula

-b/2a

gravity

g=32ft/s or 9.8 m/s

standard formula

y= ax^2+bx+c

factored form

(x-p)(x-q)

i^385

i, because 385/4 = 96.25. so you would multiply 4 x 96 = 384. because 384 is one off of 385, it would count back up to i

i^16

1

1^90

-1

The factored form of a quadratic function is represented by f(x)=2(x-4)(x-6). Write the equation in standard form.

2x^2-20x+48

Tua Tagovailoa of the great Miami Dolphins threw the football with an initial velocity of 136 ft/s from a height of 5ft. Model the equation and find the max height of the ball and the time it takes to reach the max height.

time: 4.25 seconds, max height: 294 feet

(8-17i) + (8-14i)

16-31i

(12-8i) - (3+i)

9-9i

(5-20i) - (11-10i)

-6-10i

i^37

i

i^219

-i

simplify √−112

-4√7i

(6+3i) (-2-9i)

15-60i

(5+i)^2 +3(2-4i)

30-2i