Initial:

Changed to:

As you can see the change is: from -1 to +6.
In a equation as follow:

The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.
In this case the graph moves up
To find the number of units the graph moves find the difference betwwen values of k:

Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6
Answer:

Step-by-step explanation:
<u>What number</u> <u>divided by</u> <u>-7</u> <u>is equal to</u> <u>-15</u>
∨ ∨ ∨ ∨ ∨
x ÷ -7 = -15
Multiply -7 to both sides:


Answer:
<em>t = 3 seconds</em>
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:

Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:

We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Ooh, fun
geometric sequences can be represented as

so the first 3 terms are



the sum is -7/10

and their product is -1/125

from the 2nd equation we can take the cube root of both sides to get

note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as

subsituting -1/5 for ar

which simplifies to

multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for


so
for 2r²-5r+2=0
a=2
b=-5
c=2




so

or

use them to solve for the value of a


try for r=2 and 1/2

or

test each
for a=-1/10 and r=2
a+ar+ar²=

it works
for a=-2/5 and r=1/2
a+ar+ar²=

it works
both have the same terms but one is simplified
the 3 numbers are

,

, and