Answer:
Step-by-step explanation:
Since we will be "completing the square" we will isolate the x2 and x terms ... so move the + 5 to the other side of the equal sign. y - 5 = 2x2 - 4x. We need a leading coefficient of 1 for completing the square ..
Answer:
option: C is correct.
Step-by-step explanation:
since, we are given a parent function f(x) as: f(x)=x.
We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).
let g(x) be the function formed by replacing f(x) with f(9x) i.e.
g(x)=f(9x)=9x.
clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).
whereas the slope of the function f(x)=x is 1.
Hence there is an increment of slope by a factor of 9.
Hence, option C is correct.
Answer:

Step-by-step explanation:
Notice that we can get from the x-coordinate of A, 1, to the x-coordinte of A', -2, by subtracting 3 from the x-coordinate of A. More formaly:



Similarly, we can get from the y-coordinate of A, 5, to the y-coordinate of A', 3, by subtracting 2 from the y-coordinte of A. More formaly:



Now we now that to get to A' from A, we need to subtract 3 to the x-coordinate of A and subtract 2 to the y-coordinate. Knowing this, we can create the expression to translate any point of the polygon ABCD to create the polygon A'B'C'D':

Answer:
150 in²
Step-by-step explanation:
5 x 5 x 6 = 150
surface area of cube is 6 times (6 congruent faces) of one face. 5 x 5 = 25
25 x 6 = 150
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
The elevation of the point closest to sea level is feet
-8 ft
elevation of the point farthest from sea level is feet.
-47 ft
closet to sea level to farthest to sea level
-8ft , -18ft , -24ft , -47ft