Describe how the graph of y = x2 can be transformed to the graph of the given equation. (2 points) y = (x+9)2-3

Going from y=x^2 -> y= (x+9)^2 -3 involves two steps.

#1. Compare y1= x^2 to y2 = (x+9)^

X | y1 | y2
0 | 0 | 81
1 | 1 | 100

They both have the same function structure, but the y2 is shifted 9 units to the left.

#2 from y= x^2 -> y= x^2 -3 simply involves shifting the function downward by 3 units.

So, to transform y = x^2 -> y = (x+9)^2 -3, you must shift the function left by 9 units and shift it down by 3

Elain can knit 4 scarves in 20 days. In 40 days, she would knit 8 scarves.

If Mario can knit 2 more scarves than she can in 40 days, then he can knit 10 scarves.

Divide the days by the scarves, to find that Elain knits one scarf in 5 days, and Mario knits one scarf in 4 days.

Hope this helped, and dm(?) me if you want me to elaborate!