Answer:
Step-by-step explanation:
In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:
Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:
Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is
(set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:
From this it's apparent what the vertex is: (1, -4),
the axis of symmetry is x = 1, and
the y-intercept is found by setting the x's equal to 0 in the original equation and solving for y. So the y-intercept is (0, -3).
Your choice for the correct answer is the very last one there.
Answer:
150
Step-by-step explanation:
Round 85 to 90 and 61.7 to 60
Answer: 2
Step-by-step explanation:
try each value in the equation
2(0) + 1 = 3
0 + 1 = 3
1 ≠ 3
so 0 doesn’t work
2(1) + 1 = 3
2 + 1 = 3
3 = 3
this works, so the answer is 1
the anser would be great to have a male or female plastic surgery and then you can get a chance to win the game is to be like that in mind that I have to be high as a kite to get the best way for me to do with my friends and family
All answer choices show the boundary line going through (0,-2) and (2,2). This is because y = 2x-2 goes through these two points. We make the boundary line a dashed line to indicate that solution points are not found on the boundary (because there is no "or equal to" portion in the inequality sign).
The shading is below the boundary line because of the "less than" sign. Any solution point (x,y) will have its y coordinate smaller than the y coordinate of points on the boundary line. So if (a,b) is on the boundary, then (a,c) is a solution where c < b.
In summary, the graph has a dashed boundary line and the shading is below the boundary
<h3>Answer: Graph B</h3>
