1)Describe how you translate the graph y = �ãx to y = 2 + �ã(x +1).
8)Solve �ã 3b = -3
10)For the triangle shown: 3 sided Kinda like --> /\ the right long side is 8 the left is 3
a.Find the missing length=
b.Find the area=
c.Find the perimeter=
11)Given the points: (-2,-4) and (-1, 4)
a.Whats the distance between them.
b.Whats the midpoint
1)Describe how you translate the graph y = sqrt[x] to y = 2 + sqrt(x +1).
8)Solve sqrt[3b] = -3
1) To translate the graph y = √x to y = 2 + √(x + 1), you need to shift the graph horizontally by 1 unit to the left and vertically by 2 units upward. This means that every point (x, y) on the original graph will be transformed to the point (x + 1, y + 2) on the translated graph.
8) To solve the equation √(3b) = -3, we need to square both sides of the equation to eliminate the square root. Squaring both sides gives us 3b = (-3)^2 = 9. Finally, divide both sides by 3 to solve for b: b = 9/3 = 3.
10) For the triangle with one side of length 8 and another side of length 3:
a. To find the missing length, you need more information about the triangle or the angles involved. Without knowing any angles or the type of triangle, it is not possible to determine the missing length.
b. To find the area of the triangle, you need to know the height of the triangle. If you know the height, you can use the formula: Area = (base * height) / 2.
c. To find the perimeter of the triangle, add up the lengths of all three sides: Perimeter = 8 + 3 + [missing length].
11) Given the points (-2, -4) and (-1, 4):
a. To find the distance between these two points, you can use the distance formula. The distance formula is: distance = √((x2 - x1)^2 + (y2 - y1)^2). In this case, (x1, y1) = (-2, -4) and (x2, y2) = (-1, 4). Plug in the values and calculate the distance.
b. To find the midpoint between these two points, you can use the midpoint formula. The midpoint formula is: (x, y) = ((x1 + x2) / 2, (y1 + y2) / 2). In this case, (x1, y1) = (-2, -4) and (x2, y2) = (-1, 4). Plug in the values and calculate the midpoint.