If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Mathematics

1 answer:

zhuklara [117]2 years ago

8 0

Answer:

Step-by-step explanation:

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Eva8 [605]

Answer:

Step-by-step explanation: replace x with 3 then do 6+ 3

7 0

2 years ago

Read 2 more answers

1. Write the equation in standard form. Identify the important features of the graph:

NeTakaya

Answer:

(x-4.5)^2 +(y +5)^2 = 30.25
x = (1/8)y^2 +(1/2)y +(1/2)
y^2/36 -x^2/64 = 1
x^2/16 +y^2/25 = 1

Step-by-step explanation:

1. Complete the square for both x and y by adding a constant equal to the square of half the linear term coefficient. Subtract 15, and rearrange to standard form.

(x^2 -9x +4.5^2) +(y^2 +10y +5^2) = 4.5^2 +5^2 -15

(x -4.5)^2 +(y +5)^2 = 30.25 . . . . . write in standard form

Important features: center = (4.5, -5); radius = 5.5.

2. To put this in the form x=f(y), we need to add 8x, then divide by 8.

x = (1/8)y^2 +(1/2)y +(1/2)

Important features: vertex = (0, -2); focus = (2, -2); horizontal compression factor = 1/8.

3. We want y^2/a^2 -x^2/b^2 = 1 with a=36 and b=(36/(3/4)^2) = 64:

y^2/36 -x^2/64 = 1

4. In the form below, "a" is the semi-axis in the x-direction. Here, that is 8/2 = 4. "b" is the semi-axis in the y-direction, which is 5 in this case. We want x^2/a^2 +y^2/b^2 = 1 with a=4 and b=5.

x^2/16 +b^2/25 = 1

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The first attachment shows the circle and parabola; the second shows the hyperbola and ellipse.