Given:
The given functions are:
To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
.... (i)
Where, k is stretch factor, a is horizontal shift 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 a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
Using these two function, we get
...(ii)
On comparing (i) and (ii), we get
It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.
D. (9x-4)^2
You can find this by taking the square roots of the outside numbers and multiplying them by each other and 2 to see if they equal the middle number.
So Katelyn bought 5.68 pounds of peaches. And one pound of peaches cost $1.49. So that would mean that we would have to multiply the pounds of peaches she bought, with how much each pound costs. 5.68 × 1.49 = ?
Once you multiply these two decimals, you would get 8.4632. So she spent $8.4632 on 5.68 pounds of peaches. You would multiply the two decimals to find how much she spent in all.
Answer:
D. 6
Step-by-step explanation:
One-pound bags sell for $2
Three-pound bags sell for $5
9 bags were sold for $36
6*$5=$30 (three pound bags)
3*$2=$6 (one pound bags)
$30+$6=$36
So 6 of the three-pound bags were sold
Answer:
c.
Step-by-step explanation:
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