If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
Answer:
r=1
Step-by-step explanation:
-4 r -10r + -5= -19
-4r + (-10r) + -5=-19
-14r+ -5 = -19
-14r + -5 +5= -19+5
-14r= -14
r=1
Answer:

Step-by-step explanation:

Answer: Lela's original score was 16.
Step-by-step explanation:
Alright lets get started.
Suppose Lela score was L.
Suppose Pepe score was P.
The ratio of Lela’s game score to Pepe's score is 
So the equation will be

Cross multiplying

.................equation 1
Then Lela completes a quest and scores 12 bonus points. The new ratio becomes

Cross multiplying

Plugging value of P from equation 1




Hence the score of Leela originally was 16. Answer
Answer:
(1/2, -1/2)
Step-by-step explanation:
To find a midpoint add the two x's and divide by 2 so -1+2 / 2 = 1/2
add the two y's and divide by 2 so 4-5 / 2 = -1/2
Put the two numbers together as a coordinate (1/2, -1/2)