Answer:
From the graph: we have the coordinates of RST i.e,
R = (2,1) , S = (2,-2) , T = (-1,-2)
Also, it is given the scale factor 
and center of dilation C (1,-1)
The mapping rule for the center of dilation applied for the triangle as shown below:
or
or
Now,
for R = (2,1)
the image R' = 
or
⇒ R' = 
For S = (2, -2) ,
the image S'= 
or
⇒ S' = 
and For T = (-1, -2)
The image T' = 
or
⇒ T' = 
Now, label the image of RST on the graph as shown below in the attachment:
To find the hypotenuse in a 45-45-90 triangle multiply the legs by
So...
The leg is 12 the hypotenuse is 12
Answer:
y = (x - 2)² + 9
Step-by-step explanation:
To obtain the equation in vertex form use the method of completing the square.
Add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 13
= (x - 2)² + 9 ← in vertex form
Answer:
-7
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 20-6)/(-6- -4)
= ( 20-6)/ ( -6+4)
= 14/-2
= -7
