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:
C
Step-by-step explanation:
We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.
Answer:
4
Step-by-step explanation:
Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5
1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5
2. Δ=(−2)2−4⋅(0)⋅(5)=4=4
3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4
Answer:
Peyton: 6 years old
Matt: 24 years old
Justin: 9 years old
Step-by-step explanation:
P= Peyton M= Matt J= Justin
P=J-3
M=4P
J+P+M=39
4J-12=M 4J-12=39-J-P
5J-51=-P P=J-3
5J-51=-J+3 J=9
P=9-3 P=6
M=4(6) M=24
