D is correct. U is incenter of the triangle.
Answer:
Domain is your x max and Min, Range is your y max and Min
Step-by-step explanation:
Domain would be -5 to 8 or (-5,8)
range would be -3 to 2 or (-3,2)
Y=-2(x-4)^2-6
The -6 makes it shift from origin(0,0) to (0,-6)
Then the -4 inside with x, makes it shift to the right by for, so the center would be now instead of (0,0), (4,-6).
As it has a negative A factor, it is a parabola open downwards, so the center is the maximum value.
Answer: (4,-6)
Hope you get it!
Answer:
y = -1/2x + 5/2
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
2 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
5/2 = b
Plug this into your standard equation.
y = -1/2x + 5/2
This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)
Hope this helps!