Answer:
y = 2(x + 2)² - 7
Step-by-step explanation:
y = 2x² + 8x + 1
= 2x² + 8x + 8 - 8 + 1
= 2(x² + 4x + 4) - 8 + 1
= 2(x + 2)² - 7
To multiply values with exponents we can sue the following rule (assuming both numbers are in the same base):

In this case we have:

Slope: 3/5
The formula for slope is rise over run
In this case the rise would be Positive three because the points went from -2 to positive one. And the run would be 5 because it goes from -1 to 4
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)
5 over 2
Because if x = 4
3x4=12
12-6=6
15 over 6 simplified equal to 5 over 2