What is the vertex of the equation y = (x – 3)² + 5

Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4 3. 56 3 21 2t y 3 5 -3 54 N

A: Quadratic Surface:

Q: For what values of k will the graph of y=9x2 +3kx+k have no x-intercepts?

A:

Q: Sketch the graph of the equation. 4x2 + 4y2 + 2x  = 0

A: Given: 4x2+4y2+2x=0 The graph of the given function is,

Q: 4y² – 2² = 1

A:

Q: 3. Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5

A:

Q: Sketch and identify the graph of the following equations in R3: x+4y2+9z2=36

A: Given. We need to identify the characteristics of the graph which is given by the equation. x + 4y²…

Q: Which graph represents the solution of y Sx+3 and y 2-2r- 2?

A: Given,            y ≤ x + 3  and  y≥ -2x - 2

Q: What is the y-intercept for the graph of the equation 2x - 3y = 9 ?

A:

Q: I need help with Graph 2x = −2y + 16 by finding the intercepts.

A: Given equation is, 2x = -2y + 16 by putting x = 0 we get y-intercepts and by putting y = 0 we get…

Q: Find the points of intersection of the graphs of the equations.                                2x +…

A: Given equation:

Q: - Which graph represents the equation 3x² + 3y = 8?

A: The general equation of the circle is x-a2+(y-b)2 = r2, where the center of the circle is (a, b). If…

Q: Find the x-intercept of the graph of 4x – 2y =8. a -4 b -0 C 0. d o N

A: Given that, 4 x -2 y = 8 To find the x intercept  Substitute y = 0 in the above equation…

Q: Select the equation that represents the graph abov A y = Vx + 4 - 2 B y = Vx - 4

A:

Q: Please find attached

A: To sketch the graph of the equation given.

Q: 1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

A: Given:  1). 9x2+4y2=36 2). z2-x2-y24=1 For sketching the graphs of given expression in ℝ3 have to…

Q: Match the equation with its graph. x2 z2 = 1 9 16 6. 2. 3 2 2. 6. 31 3. ++++

A:

Q: Match the equation with its graph. x2 - y2 + z2 = 2

A: Solution:-

Q: Find axis of symmetry and vertex of y=x2+4x+3

A: given that y=(x^2)+4x+3 find axis of symmetry and vertex

Q: Which graph best represents the solution set of y s-4x?

A:

Q: Match the equation with its graph. z2 = 1 16 31 21 -5 4. 4 2.

A: Here we have to draw the graph of the equation x29+y216+z29=1 .............................. (1)

Q: Match the equation with its graph. y2 = 4x2 + 922 %3D 3 2-

A: This is the problem of 3 dimensional curve plotting. Based on the online available graph plotter we…

Q: Find the points of intersection of the graphs of the equations.                        5x + 3y = −1…

A: The given equations are, 5x+3y=-1              ...... 1x-y=-5                  ...... 2 Multiply…

Q: Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5 -

A: Given quadratic equation is y=2x2-16x+5.

Q: For the equation y = x - 3x + 4x + 5, is there any symmetry as to x-axis, y-axis, or origin?

A: An axis of symmetry represents a line about which each part of a function curve is reflection of the…

Q: Match the equation with its graph. x2 y2 z2 = 1 16 56y 3 2- -3t 3 544 +

A:

Q: Find the solutions to the equation by reading the graph. x2-4x-12 = 0 y=x-- 4x-12

A: Given,

Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: What is the graph of Y=-2x+0

A:

Q: What is the Equation of the graph drawn above. 11T 7x 4 3n 3

A: (1) In the given figure,    There is a circle of radius 3, so, in polar coordinates the equation of…

Q: Find the coordinates of the vertex at y=-3x² + 5x -2?

A:

Q: Match the equation with its graph. y2 z2 = 1 6. 16 31 2 3r

A: The objective is to match the equation with its graph. The graph is given below.

Q: Match the equation with its graph. x2 + y2 z2 = 1 9 16 9. 56y 4 3 -y y 3 2 -3 N +++

A:

Q: What is the domain of the graph given by the equation y = x² + 6x + 5 ? O All Real Numbers Oy -4

A:

Q: Find the x intercept of the graph of the equation . 2x - 4y = 9

A: Given equation: 2x-4y=9 To determine: x intercept. Concept: To determine the x intercept, we shall…

Q: (b) Graph the equation x² + 2x +9y² +9z² = 8, labelling the coordinates of the center and one vertex…

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Q: Match the equation with its graph. x2 y2 z- = 1 9. 6. 16 6. 4 3. 6. 56 3. 3. 1 -3 14 +

A: The graph of the equation is below:

Q: Sketch and identify the graph of the following equations in R3: x2+y2+z2-2x+8y-6z+1=0

A: Here we have to sketch and identify the graph of the following equations in R3:…

Q: 10. Describe the graph of the equation - x² + 4y – 4x + 40y + 60 = 0.

A:

Q: Find the x-intercept of the graph of 4x – 2y=8. a -4 b -0 d 2

A: Given that, 4x-2y=8

Q: Find the value of x that corresponds to y = 7 in the graph of the equation 4x – 3y = - 37

A:

Q: Find the points of intersection of the graphs of the equations                           x2 + y2 =…

A:

Q: I need help figuring out 2x-4y=12 graphed with solution points.

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Q: Match the equation with its graph. z2 = 1 9. 16 41 31 21 27 3 2. -5 -3 56 १ 24

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Q: The turning point on the graph of y 7x2 + 21x – 8 is at -

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Q: Match the equation with its graph. y2 = 4x2 + 9z2 %3D 4 3. 2 5 y 3 y -3 3 56 y -y -3t 54L 4.

A: Here, the given equation of the surface is: y2=4x2+9z2...(1)

Q: Match the equation with its graph. x2y2 z2 +. 25 36 %D 16 ZA ZA 7A

A:

Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…

Q: Find the points of intersection of the graphs of the equations                           x + y = 8,…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.