B. g(x) is translated 2 units left. it's inside so it's a horizontal translation, and it's +2 which means it's translated left
Answer:
<h2>
8 units²</h2>
Step-by-step explanation:
Let side of the square = a
The , Area of square = a²
Now, Midpoint of Diagonal DB is E
And DE = 2 units
So, DB = 2 DE = 2 × 2 = 4 units
Now, using Pythagoras theorem in ∆ BCD
DB² = DC² + BC²
plug the values

Collect like terms

Evaluate the power

Swipe the side of the equation

Divide both sides of the equation by 2

Calculate

Therefore, The area of the square is 8 sq.units.
Hope this helps..
Best regards!!
Answer:
The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be 
Step-by-step explanation:
Given that the line passes through the point (5,4).
As the line is parallel to the x-axis, the slope of the line would be zero.
And we have point (5,4) from which the line is passing.
So, 
The equation of the line passing through point
is

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be 
<span>Assuming the graph is y=-3(√2x)-4 and y=-3√(x-4) the transformation would be:
</span><span>The graph is compressed horizontally by a factor of 2
x=1/2x'
</span>y=-3(√2x)-4
y=-3(√x')-4 <span>
</span><span>moved left 4
x=x'-4
</span>y=-3(√x)-4
y=-3(√x'-4)-4
<span>
moved down 4
y=y'-4
</span>y=-3(√x-4)-4
y'-4=-3(√x'-4)-4
y'=-3(√x'-4)-4 +4
y'=-3(√x'-4)
Answer: C. <span>The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.
</span>
Answer:
(0,2)
Step-by-step explanation:
2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB
Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0
Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2
The point is (0,2)