Answer:
the awnser would be a(g(x)=3x2
Answer:
Line does not represent direct variation.
Step-by-step explanation:
If the line goes thru the origin, it represents direct variation. Otherwise it does not.
Start by finding the slope of this line:
As we move from (-4,3) to (4,3), x increases by 8 but y does not change. Thus, the slope is 0/8, or just 0. Thus, the equation of this line is y = 3, which does NOT go thru the origin; thus, the points given do NOT represent direct variation.
Answer:
120 deg
Step-by-step explanation:
Draw a horizontal line that passes vertices of 2 angles 125 deg and 115 deg.
This line is perpendicular with 2 vectors.
Apply the property of vertical angles and the sum of 3 angles in a triangle.
x = 180 - (125 - 90) - (115 - 90) = 120 deg
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
