Answer:
D
Step-by-step explanation:
These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.
Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.
Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.
There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.
The answer is thus D.
Y = mx + b
where m is the slope and b is the y-intercept.
1. 2x + 3y = 12
3y = -2x + 12
y = -2x + 4
y-intercept is 4
2. x - 4y = 20
-4y = -x + 20
y = -x - 5
y-intercept is 5
3. y = 2x - 9
this one is easy because it's already in standard form
y-intercept is -9
Since the x coordinates are 2 for (2,-2) and (2,5), you can assume that the 4th vertex's x coordinate would be (-1) since there is only one coordinate with -1 given.
It should be (-1,-2) since the 1st vertex should correspond to the 4th
Perimeter of a square = 4s = 20ft
s = 20/4 = 5 feet
New length = 5 + 2 = 7 ft
New width = 5 - 1 = 4ft
New perimeter = 2(7 + 4) = 2(11) = 22ft
