Answer:
A dilation with a scale factor less than 1 and then a reflection.
Step-by-step explanation:
A dilation with a scale factor less than 1 and then a reflection is the composition of similarity transformations maps polygon ABCD to polygon A'B'C'D.
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
See below.
Step-by-step explanation:
You don't provide the original side length, but since the scale factor is greater than 1, all correct answers are lengths that are greater than the original side length.
Answer: choose any two numbers that are greater than the original length.
Step-by-step explanation:
A semicircle is a half circle. That means a semicircle will have half of the area of a circle. You might think that means it will have half the perimeter of a circle, but that is not true.
To make a semicircle, take any diameter of the circle. Remove one half of the circle along that diameter. You have a semicircle (half of a circle).
A semicircle is half the circumference of a full circle plus the diameter of a cricle,
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d
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