The cost to join a gym includes a one-time membership fee, plus a monthly fee. John joined the gym and paid $325 for 6 months.Ab
1 answer:
We need to construct the system of equations in order to solve that problem. Let's denote one-time membership fee with x and monthly fee with y. Then we can write that John paid x+6y=325 and Abigail paid x+9y=475. Solving the system of equations 
, we find that x=25 and y=50. The monthly fee is 50 dollars.
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Given:
The function is:
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
.... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
...(ii)
On comparing (i) and (ii), we get
, it means the graph is vertically stretched by a factor of 2.
, it means the graph is shifted up 3 units.
Therefore, the correct option is D.