*Show your work. Circle/box your final answer.
* Fishing spiders can propel themselves across water and leap vertically from the surface of the water.
During a vertical jump, the height of the body of the spider can be modeled by the function
y=-4500x2 + 820x + 43, where x is the time, in seconds, of the jump and y is the height, in
millimeters, of the spider above the surface of the water.
1. After how many seconds does the spider's body reach it maximum height?

idk

step-by-step explanation:

40 minutes

step-by-step explanation:

add the time and multiply by 2

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

- (2, -7)

- lines r and s and lines t and u must be parallel