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3 years ago

Write the equation of the circle graphed below.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

(x + 1)^2 + (y - 1)^2 = 74

Step-by-step explanation:

By looking at the graph, we can see the center of the circle is (-1, 1).

Next, we can find the radius. We are given the point (6, -4) is on the circle. The distance from the center to a point on a circle is the radius. We can plug the points (-1, 1) and (6, -4) into the distance formula to get the radius:

r = √([-1-6]^2 + [1-(-4)]^2)

r = √(49 + 25)

r = √74

The equation of a circle is denoted in the form:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the values we calculated:

(x + 1)^2 + (y - 1)^2 = 74

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3 years ago

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s2008m [1.1K]

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3 years ago

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evablogger [386]

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4 years ago

Read 2 more answers

a teacher had 21 red pens. if the ratio of red pens to blue pens owned was 3:1 how many pens did she have in total

Mariulka [41]

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3 years ago

The graphs below have the same shape. What is the equation of the red graph?

arsen [322]

Answer:

Step-by-step explanation:

The red graph is vertically shifted from the blue graph. Let's understand horizontal and vertical shifts.

If we have a graph of $f(x)=x^2$ , then

f(x) + a is a units shifted vertically up
f(x) - a is a units shifted vertically down
f(x-b) is b units shifted horizontally right
f(x+b) is b units shifted horizontally left

Since the red one is vertically shifted 3 units up (compared to blue graph), the equation would be:

$g(x)=f(x)+3\\g(x)=x^2 + 3$

Correct answer is D

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3 years ago