Answer: (9, -2)
Step-by-step explanation:
Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.
Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).
Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.
Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is translated "k" units up
If 
, the function is translated "k" units down.
If 
, the function is translated "k" units left.
If 
, the function is translated "k" units right.
In this case you have the following function:
And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:
Finally, simplifying, you get that this is:
If you want to eliminate x than multiply equation 1 by 4 and equation 2 by 3 and subtract them or,
If you want to eliminate y than mutiply equation 1 by 8 and equation 2 by 11 and subtract them.
The length of a median is equal to half the square root of the difference of twice the sum of the squares of the two sides of the triangle that include the vertex the mediam is drawn from and the square of the side of the triangle the median is drawn to.
triangle sides by a, b, c.
ma=122c2+2b2−a2
mb=122c2+2a2−b2
mc=122a2+2b2−c2
