2. In class we saw that a circle centered at the origin is symmetric about the z-axis, the y-axis, and the origin. Can you find an example of a circle that is symmetric about the y-axis, but not the r-axis? Sketch a graph of the circle, and find its equation 3. Let f(x)-32+2 (a) Find fx+h). Simplify your answer completely. the expression . (This expression is called the difference quotient of f, and you will see it again in calculus!)

Q: IL Use the information provided to write the general form equation of each circle. (z+ 6) + (y- 10o)…

A:

Q: 2. Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation…

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Q: 6. Consider the circle in the figure below. y 2 What is the nau -2 0 2

A: First we find the centre and then radius of circle by Pythagoras theorem to find the equation of…

Q: 5. The graph below shows AB, which is a diameter of circle O. The coordinates of the endpoints of AB…

A: Solution of question as follow

Q: The graph of the equation (x – 2)´ + y² = 81 is a circle. What is the radius of the circle?

A: The standard equation of a circle is given by: (x-a)2+(y-b)2=r2   Where, (a,b) is the center of the…

Q: Put the equation y = x² + 4x – 5 into the form y= (x – h)² + k: Answer: y =

A: We have given y =x2 +4x -5

Q: a|x|+b|y|=c describes the graph. Four coordinates are (0, 4b) (0, -4b) (7a, 0) (-7a, 0). Find the…

A: Here from the given 4 coordinates we will establish the equation of line. Out of all the possible…

Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

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Q: Use the graph below to determine the equation of the circle in ​(a)​ center-radius form and ​(b)…

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Q: Write the equation of the circle with center C(-2;4) and radius r=5. Where does the circle cut the…

A: Solution is given below

Q: You can use the distance formula with the (h, k) and r values to obtain the standard form of the…

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Q: 17. The equation (x - 5)² + (y + 2)² = 49 models the position and range of the source of a radio…

A: We have to solve given Questions

Q: The center of the circle (x-2)²+(x +5) = 9 is

A: given,        x-22+x+52=9

Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

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Q: What is the equation of the following circle? The equation is (x−4)2+(y−6)2=3. The equation is…

A: Given that,

Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Given: y=x2+1 in ℝ3 We need to sketch the graph of the given function.

Q: f. What is the equation of a circle having a diameter with endpoints at A(4,5) and B (-2,3). Sketch…

A: Since you have asked multiple questions in a single request we would be answering only the first…