Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer:
Figure D
Step-by-step explanation:
we know that
If the scale factor of the dilation is 1/2, that means the dilation is a reduction
so
the answer is between the Figure C and Figure D
but
a rotation of 180° eliminate the Figure C
therefore
The answer is the Figure D
Answer:
7/3
1
1/2
undefined
Step-by-step explanation:
1/1 ÷ 3/7 = 7/3 because you multiply the 1st fraction by the reciprocal of the 2nd
1/1 = 1
1/2 = 1/2
1/0 = undefined; anything divided by zero is considered to be undefined
Answer:
So to graph using a table, the first step is...well... make a table. so you have a column of x and y. under the x column write down a bunch of values you would like to test. I am going to test -2 through 2.
x | y
-2|
-1|
0 |
1 |
2 |
Next, we have to plug each of those values into the equation y=2x to see what the corresponding y value is.
when x=-2 y=2(-2)=-4, when x=-1 y=2(-1)=-2, and so on...
x | y
-2|-4
-1|-2
0 |0
1 |2
2 |4
Next, graph those points on a coordinate plane. Each row on the table is a point on the graph, (x,y). Hope that helps!
Answer:
g = (2-x)/3
Step-by-step explanation:
PLS GIVE BRAINLIEST
