Sketch the graph of a quadratic function y=x² + 3 and identify the following: 15. Vertex 16. Equation of the axis of symmetry: 17. Y-intercept 18. Domain: 19. Range 20. Opening of the Graph

Q: Write the equation of the function represented by the parabola in vertex form and in the form y =…

A: Given points vertex (-1,-6)(0,-4)

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given equation is x=3y+4. To sketch the graph of the equation and label the x-intercept and…

Q: Sketch the graph of the equation 3x − 3y + 1 = 0

A: Given equation:  3x − 3y + 1 = 0

Q: Suppose the graph of y = – x² + 5x – 7 is reflected across the x-axis. The equation of the new graph…

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Q: Sketch the graph of the equation 9x2 − 18x + 4y2 + 16y − 11 = 0

A: Given equation

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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Q: find the vertex and the x-intercepts (If any) of the parabola. (If an answer does not exist, enter…

A: The function for the parabola is given by, y=3x2-8x-3

Q: • Determine and draw the graph of the following equation in R3 : x2 + 212 + 2 8x + 12y – 2z + 35 = 0…

A: This is a problem of multi variable calculus, 3D geometry.

Q: is the graph of y=1/2x+4/3 perpendicular to the gragh of y=-1/2x+4/3

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Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: The graph of y = 1x - 22 2 may be obtained by shifting the graph of____to the (left/right) a…

A: Assuming that the function given is: y=(x-22)2

Q: Express 3x? + y² + 2z? + 6x – 4y – 12z + 26 = 0 to its standard form. Also, Sketch and identify its…

A: We have given    3 x2 + y2 + 2 z2 + 6 x - 4 y - 12 z + 26 = 0      To Express it in Standard form

Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

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Q: What is the graph of y = f(x+ 1) - 2?

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Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: x = -2y2 x=-2y2:  Parabola with vertex at h, k=0, 0, and focal length |p|=18 4px-h=y-k2  is the…

Q: Graph the function ?(?)=?2+2?−10f(x)=x2+2x−10by using completing the square to rewrite in vertex…

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Q: Match the equation with its graph. x2 y2 = 1 9. 16 9. 6 4 56 31 3. 21 2. 4 -3+ Submit Answer

A: Show the traces in the XY, YZ & XZ plane.

Q: Please find attached

A: To sketch the graph of the equation given.

Q: What is the graph of y=(1/3) ^x?

A: As x approaches to infinity then limit of  y=(1/3)^x will be 0. So  optin A and option D are…

Q: Draw the graph of a quadratic function that has a vertex at (−2,5) and has a y-intercept of 3. Make…

A: Quadratic function and it's graph

Q: (i) Sketch the graph of y =|5x²– 14r – 3| graph meets the coordinate axes.

A: Given: y=5x2-14x-3 To express: (i) The given function in the form of p(x+q)2+r form. To sketch: (ii)…

Q: Describe the graph of the equation X² −y² −4x + 8y−21 = 0

A: x2-y2-4x+8y-21=0

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

A: Solution:-

Q: Sketch the graph of y = 2/(1 + x2 ).

A: Consider the given: y=21+x2Substitute x=0,y=21+0y=2Substitute x=1,y=21+1y=1Substitute…

Q: What is the piece-wise equation and domain for the 1t section of the graph? f(x)

A: NOTE: Refresh your page if you can't see any equations. . for the first part, the x-intercept is…

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: Which graph best representsthe solution se of y -4x? A

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Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: If the graph of y = f(x) undergoes a horizontal stretch or shrink to become the graph of y = g(x),…

A: Given that, y= f(x) is a function. f(x) will undergo a horizontal compression when the scale factor…

Q: Explain the difference between the graphs of the two equations. 4x + 9y = 36 4x + 9y = 36

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Q: Identify and sketch the graph of the equation x2+y2+z2-2x+4y+6z+14=0

A: Let us plot the graph.

Q: Sketch the parabola and line on the same graph. y = x2 + 4 and y = 2x + 2

A: Given, y=x2+4   y=2x+2  The graph of given functions can be plotted as shown in the figure below.

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given equation: x=-9-y2

Q: 9. If you were to graph f (x) = 2x2 + 4x – 6 , what would the coordinates of the vertex be? What…

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Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

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Q: Graph the parabola. x=2(y-4)+3 12 10+ 10-+

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Q: Graph the functien Q1 y= 2 :-

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Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

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Q: Match the equation with its graph. x2 z2 = 1 9 y2 9. 16 2. 3 2 21 -3- 56y 3. N4Lt 54 メ 十十

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Q: Sketch the graph of the equation. x2 + y2 + 4x – 10y = 24

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

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Q: Sketch the graph of the equation x + 2y + 6 = 0

A: Sketch the graph of the equation x + 2y + 6 = 0

Q: Describe the shape of the graph of y=(x+2)(xto the power of 2-1) with regards to its intercepts

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Q: Sketch the graph of y = x 2 - 6x + 8 by plotting the roots and the minimum point.

A: For a quadratic equation of the form ax2 + bx + c = 0✦ a> 0 ⇒ parabola is concave upwards.✦ a…

Q: Sketch the graph of 9x2 + 4y2 = 25, and find the foci.

A: Given equation is 9x2+4y2=25. To sketch the graph and find the foci. Solution: Given equation can be…

Q: Sketch the graph of the equation.   y=x2+5x+1

A: The given function is: y=x2+5x+1