Answer:
Option 3
Step-by-step explanation:
we are given the graph of a parabola
with vertex at (0,-1) and symmetrical about y axis and also open up.
Hence the equation of the graph would be transformation of 
by a vertical shift of 1 unit down.
So new equation after transformation would be

Or
Hence option 3 is right choice.
Verify:
Put Solving the equation we get


In the graph x intercepts are the same as -1 and 1
Hence our answer is right.
Answer:
The equation of a parallel line in point-slope form would be y - 3 = -8(x + 3)
Step-by-step explanation:
To find this, we must first note that the original slope is -8. Parallel lines have the same slope, so we know that the new line will also have the slope of -8.
Given this information, we can use the point and slope and put them into the base form of point-slope form.
y - y1 = m(x - x1)
y - 3 = -8(x - -3)
y - 3 = -8(x + 3)
Answer:
114.31 nautical miles per day
Step-by-step explanation:
Use formula

where S is the distance, t is time and v is rate.
If S=11431 nautical miles and t=100 days, then

Answer:
1
Step-by-step explanation:
To answer this question, we need to that any number (except zero) raised to power 0 is equal to 1. With that in mind, let's solve this:
2y^0 - (3y)^0
= 2(1) - (1)
= <u>1</u>
<em>N</em><em>o</em><em>t</em><em>e</em><em>:</em><em> </em><em>2</em><em>y</em><em>^</em><em>0</em><em> </em><em>=</em><em> </em><em>2</em><em>(</em><em>y</em><em>^</em><em>0</em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em>(</em><em>1</em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>w</em><em>h</em><em>e</em><em>r</em><em>e</em><em>a</em><em>s</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>2</em><em>y</em><em>)</em><em>^</em><em>0</em><em> </em><em>=</em><em> </em><em>1</em>