Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer:
Option C.
Step-by-step explanation:
If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.
The given division problem is
Here,
The numerator polynomial can be written as
So, the coefficients of numerator are 6, 1, 0, -3.
The synthetic division form for given division problem is
7 | 6 1 0 -3
Therefore, the correct option is C.
Answer:
none of them
Step-by-step explanation:
Answer:
The relationship is linear: y -5 = 2 (x+7)
Step-by-step explanation:
While the difference between -7 and -5 / -5 and -3 / -3 and -1 is always 2 teh difference between 5 and 9 / 9 and 13 / 13 and 17 is always 4.
y-5 = -1/2 (x +7)
for x= -7 and y = 5 this is true
for x=-5 and y = 9 this is not true
y + 7 = 1/2 (x-5)
for x= -7 and y = 5 this is not true
y -5 = 2 (x+7)
for x= -7 and y = 5 this is true
for x = -5 and y = 9 this is true
for x = -3 and y = 13 this is true
for x = -1 and y = 17 this is true
Answer:
26
Step-by-step explanation:
Since the input is -4, x = -4. The equation then is y = -7(-4) -2
A negative times a negative is a positive, so -7 times -4 is 28.
Now the equation reads y = 28 - 2
Then obviously you just subtract the two and then you get 26.
