Answer:
a = 15
Step-by-step explanation:
Substitute b = 12 , a = 9 into the equation
12 = 
12 =
← square both sides
144 = a² - 81 ( add 81 to both sides )
225 = a² ( take square root of both sides )
±
= a , then
a = ± 15
a > 0 , so a = 15
Answer:
y = f(x-2) + 1
Step-by-step explanation:
The original functions looks like f(x) = |x|
For the new function the vertex has shifted -2 left (x) and up +1 (y)
So
y = f(x-2) + 1
Simply find the difference between the intercept and axis of symmetry then apply it to the other side
-1 › 3 = 4
so
3 + 4 = 7
Answer:
c. both
Step-by-step explanation:
Given equation is 
Now we need to check if the graph of
is symmetric with respect to which axis?
a. x-axis c. both b. y-axis d. neither
We know that if f(-x) reflect the graph about y-axis
so let's change x by -x into given function to see if that equation remains unchanged or not


That is same as previous equation.
<u>Hence given graph is symmetric about y-axis.</u>
We know that if -f(x) reflect the graph about x-axis
so let's change y by -y into given function to see if that equation remains unchanged or not


That is same as previous equation.
<u>Hence given graph is symmetric about x-axis.</u>
So the correct choice is c. both
Answer:
the answer is 7x + 437
Step-by-step explanation:
1) 7 is the only number with a variable, <em>x</em>, so it will remain as it is.
2) -4+4= 0
3)1+1= 2
4) 2+435= 437
7) combine 7x and 437 together. 7x + 437.
We cant go any further, because 7x and 437 are not liketerms.