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3 years ago

Two circles of radius 8 are tangent to the graph of

1 answer:

5 0

Two circles of radius 4 are tangent to the graph of y^2 = 4x at the point (1, 2). ... I know how to find the tangent line from a circle and a given point, but ... 2a2=42. a2=8. a=±2√2. Then1−xc=±2√2 and 2−yc=±2√2. ... 4 from (1,2), so you could find these centers, and from there theequations of the circle

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Does anyone know the answer to this?

denis23 [38]

Answer:

$g(x) = 3(x - 12)^{2} - 5$

Step-by-step explanation:

Horizontal translations = f(x ± h)

Reflection over the x-axis = - f(x)

For the function $f(x) = - 3(x - 4)^{2} +5$ , translating the parabola 8 units to the right means the horizontal shift of the graph, adding (- 8) to the h input. This is represented by: $g(x) = - 3(x - 12)^{2} +5$ .

Next, flipping the graph over the x-axis represent a reflection. Since we currently have a negative coefficient for the value of a, then the opposite of a negative coefficient is a positive coefficient.

Therefore, the rightward horizontal translation of 8 units, and the reflection of the graph over the x-axis is represented by:

$g(x) = 3(x - 12)^{2} - 5$

For your reference, the three images below shows the transformations on the graph. The first image is the original function (in red parabola). The second image represents the reflection over the x-axis (green parabola). The third image shows the horizontal shift, 8 units to the right (blue parabola). If you take note of the varying values in vertices, (h, k ) for the three graphs, you'll see that the original vertex was (4, 5) and the new vertices for the transformations are (4, -5) for the reflection and (12, -5) for the shift.

4 0

3 years ago

Five friends earn a total of $50 doing yard work in their neighborhood. Each friend earns the same amount. Use the equation 5f =

Natasha_Volkova [10]

Answer:

Each friend earned 10 dollars. 50÷5=10

4 0

3 years ago

Shawn has been hired as a sales associate Horizon Mobile Phone Company, has twosalary options. He can eilther receive a fixed sa

Vinil7 [7]

400(0.08)= T T + 400= Commission or C C • Weeks= X $750 • Weeks= X This is how to solve, I can help you further if you provide the options.

4 0

3 years ago

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 95 feet long and the water i

lana [24]

The answer would be 3,712.5 feet im prettyyyy sure

7 0

3 years ago

The decimal expression for 8 km 5 m is

Neko [114]

Answer:

8.005 km

Step-by-step explanation:

There are 1000 meters in a kilometer, so:

5/1000 = 1/200 = 0.005

8 km + 0.005 km = 8.005 km

3 0

4 years ago