Answer:
See below.
Step-by-step explanation:
Here's an example to illustrate the method:
f(x) = 3x^2 - 6x + 10
First divide the first 2 terms by the coefficient of x^2 , which is 3:
= 3(x^2 - 2x) + 10
Now divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form
(x - b/2)^2 - b/2)^2 (where b = 2) , which will be equal to x^2 - 2x in a different form.
= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x + 1^2 and we have to make it equal to x^2 - 2x)
= 3 [(x - 1)^2 -1 ] + 10
= 3(x - 1)^2 - 3 + 10
= <u>3(x - 1)^2 + 7 </u><------- Vertex form.
In general form the vertex form of:
ax^2 + bx + c = a [(x - b/2a)^2 - (b/2a)^2] + c .
This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.
I think it is F, but I am a not sure.
Answer:
take the numbers and do the equation steps then fill the box in
Step-by-step explanation:
Answer: V = (1/2 inches)^3 = 1^3/2^3 inches^3 = 1/8 Cubic inches.
Step-by-step explanation:
The formula of Volume for a cube is just like Hyperrectangle's V = width x length x height and since a Cube is just a Hyperrectangle with all sides equal, this specific case can be written as V = side^3
Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is
In this case we have k=6
Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
