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
To solve this question, use the Cube surface area formula
Area = 6a^2 in which a = edge.
edge = 8.5
Area = 6(8.5)²
Simplify. Follow PEMDAS
Area = 6(72.25)
Area = 433.5
(C) 433.5 in² is your answer
hope this helps
Answer:
72
Step-by-step explanation:
x in (-oo:+oo)
(x/4)/3 = 6 // - 6
(x/4)/3-6 = 0
1/12*x-6 = 0 // + 6
1/12*x = 6 // : 1/12
x = 6/1/12
x = 72
x = 72
I would guess they're referring to some general form first<span>f(x)=alog(x−h)+k</span>Where 'h' represents horizontal shifts, 'k' vertical shifts and 'a' stretches the function. "a" will also reflect the function across the x-axis if the value is negative. But NOT across the y-axis. I hope that's the place they wanted to put the a at least
Answer:
Coordinate plane
Step-by-step explanation:
The two dimensional plane made up by the intersection of a vertical (y-axis) and a horizontal (x-axis) perpendicular lines that cross each other once at the zero point mark known as the origin is called the Cartesian plane or coordinate plane. The origin is labeled letter O with coordinates 0,0
The Cartesian plane is used to plot graph lines and points so as to present algebraic ideas in a visual form and to form as well as interpret ideas in algebra.