For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
We know there is 57 members are in the math club and there is twice as many sixth grades than the seventh. To find out how many sixth graders are in the club, we do:
x = seventh graders
2x = sixth graders
2x + x = 3x
57=3x
57 ÷ 3 = 3x ÷3
19 = x
So there is 19 seventh graders and 19×2= 38 sixth graders
11. m=5 p=15
12. g=3 k=3
13. b=40
Answer:
1 is the constant
Step-by-step explanation: