Answer:
Point C: (4, 0)
Step-by-step explanation:
Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.
point slope form between two points: y - y1 = m (x - x1)
point A (2, 6) and D (4,4):
slope: point form, 6 - 4 = m(2 - 4)
2 = -2m
m (slope) = 
= 
now that you know the change in position, apply this to vertice B to get the position of the final vertice.
B(2, 2)
C (2 +2, 2-2) = C(4, 0)
The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)
Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
Answer:
0.2
Step-by-step explanation:
Basically, all you would do is 120/540. Which is the same thing as division. So: 120 / 540 = 0.2
Answer:
y = 
x - 5
Step-by-step explanation:
Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points
(0, - 5) and (4, - 3)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)
m = 
= 
=
The line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = f(x) = x - 5 ← equation of line
Answer:
-384
Step-by-step explanation:
f(x) =x^2+8x
evaluate f(x)=-16
input -16 for x
-16^2+8(-16)
-16^2= -256
then, 8*-16=-128
add the two negatives
-256+-128= -384
