Start from the parent function
In the first case, you are computing
In the second case, you are computing
, you translate the function horizontally, units left if and units right if .
On the other hand, when you transform , you translate the function vertically, units up if and units down if .
So, the first function is the "original" parabola , translated units right and units up. Likewise, the second function is the "original" parabola , translated units left and units down.
So, the transformation from to is: go units to the left and units down
Answer:
11.5
Step-by-step explanation:
Divide: 159:6-15
Calculate: 26.5-15
\\11.5//
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
Answer:
x= -4 and y= 27/6
Step-by-step explanation:
-(8x + 6y = -5) which converts to -8x -6y = 5
10x + 6y = -13
simplify from there
-8x + 10x = 2x ; -6y + 6y = 0 ; 5 - 13 = -8
soo, now you have
2x = -8
x = -4
then, plug in to find y
8(-4) + 6y = -5
-32 + 6y = -5 add 32 on both sides
6y = 27 divide both sides by 6
y= 27/6 or 4.5