If you want to translate a point (x,y) to the left, you have to subtract the number of units (n) that you want to translate it from the original x coordinate, like this:
(x-u,y)
And if you want to translate a point (x,y) downwards, just subtract the number of units n you want to translate from the y coordinate, like this:
(x,y-n)
in this case, we have the point (-5,0) which image would be:
After a translation of 2 to the left
and with 1 unit down, this point would look like this:
(-5-2,0-1)=(-7,-1)
It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k),
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67
=5*16 + 8*8 +4*4 -5*2 +67
=80 + 64 + 16 -10 +67
= 217
Answer:
f(4y) = -8y - 3
Step-by-step explanation:
Step 1: Define variables
f(x) = -2x - 3
f(4y) = x = 4y
Step 2: Plug in x = 4y
f(4y) = -2(4y) - 3
f(4y) = -8y - 3
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
Answer:
yes
Step-by-step explanation:
