1 inch = 12 miles
so 6 1/2 inches (or 6.5 inches) = 6.5 * 12 = 78 miles <===
Answer:
shift it down by 4 units
Step-by-step explanation:
by the placement of the -4 it can be determined that you would shift it according to the y axis
The formula a(x-h)^2 + k = y
h represents change in x, k represents change in y
-k means shift down
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:
Step-by-step explanation:
Slope m = 5/6
The points (-2,1)
So; y1 = 1 and x1 = -2
The equation is y - y1 = m(x - x1)
y - 1 = 5/6(x + 2)
Multiply each term by 6
6y - 6 = 5(x + 2)
6y - 6 = 5x + 10
6y = 5x + 10 + 6
6y = 5x + 16
- 5x + 6y = 16
Multiplying by minus
5x - 6y = -16