Determine the slope from the given graph below:
2 answers:
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Answer:
(x +3)^2 +(y -4)^2 = 52
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...
(x +3)^2 +(y -4)^2 = r^2
Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:
(1 +3)^2 +(-2 -4)^2 = r^2
16 +36 = r^2 = 52
The equation of the circle is ...
(x +3)^2 +(y -4)^2 = 52
Given:
The points where the graph crosses the <em>x</em>-axis are -1 and 3.
The point where the graph touches the <em>x</em>-axis is at 5.
The objective is to find the correct equation of the function.
Explanation:
The equation representing the point <em>x</em> = -1, crossing the <em>x</em>-axis can be represented as,
Similarly, the equation representing the point <em>x</em> = 3, crossing the <em>x</em>-axis can be represented as,
Similarly, the equation representing the point <em>x</em> = 5, touching the <em>x</em>-axis can be represented as,
By combining all the equations of the graph, the function can be represented as,
Hence, option (B) is the correct answer.