Rewrite the equation from vertex form to standard form. Vertex Form: y = - 2(x – 4)² – 1 Standard Form:

Q: Find the equation of a parabola that has a vertex of (-5, -3) and contains the point (-4, -5).…

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Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: Use the graphs of y 2 and y = 4x 10 5. shown below, to complete the following %3D %3D sentence. The…

A: Given two graphs are y=2 and y=-4x-105.

Q: 2 4x + 9to vertex form by Change the standard form equation y = x" completing the square. -

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Consider the following given equation,

Q: Convert to vertex form h. y= x^2 +6x -2

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Q: Rewrite the equation 4x2 + 3y2 – 16x – 12y + 16 = 0 to standard form and identify the coordinates of…

A: The given equation is 4x2+3y2-16x-12y+16=0. We need to first rewrite it to standard form. The have…

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: To write the standard form of the equation of the parabola that has the vertex at the point 1, -4…

Q: . Write the equation into the standard form of the equation of the parabola: x2 + 4x – 4y = 0.…

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Q: Transform the equation into center-radius form. Draw its graph x² + y² - 2x + 4y -4 = 0

A: We have to find out centered and radius form

Q: 6. y = x + 6x + 4 Axis of Symmetry: Vertex: Sketch:

A: Consider the equation: y=x2+6x+4 Compare the given equation with standard equation, y=ax2+bx+cAfter…

Q: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

Q: Convert y = x + 12x +20 from standard form to vertex form. Only an algebraic solution will receive…

A: Given  y = x2 + 12x + 20  The given equation can be converted to the vertex form by the method of…

Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

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Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…

A: Given:      focus =1,3      vertex =0,3  The focus and vertex are horizontally aligned, so the…

Q: 2. f(x) = 2 - 5x + 2x Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A: The quadratic function is f(x)=2-5x+2x2 Let the function of the form f(x)=ax2+bx+c, if a > 0 then…

Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

Q: Rewrite x?-2x+y2-29 = 0 in graphing form, sketch the graph, and label the %3D important points.…

A: We are given the equation  x2-2x+y2-29=0. Now we have to convert the equation into a standard…

Q: 20) Rewrite the equation in standard form, indicate the features and sketch the graph with accuracy.…

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Q: Rewrite the equation from vertex form to standard form. Vertex Form: y = - 1(r – 3) – 4 Standard…

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Q: Convert the equation x2 + y2 + 2x − 6y + 7 = 0 to standard form and sketch the grap

A: We have to convert the equation x2+y2+2x-6y+7=0 to standard form and we have to draw the graph also.…

Q: Transform the equation into general form. Draw its graph. (x+3)² + (y−4)² = 36

A: As we know the general form of the equation of the circle is: x2+y2+2gx+2fy+c=0 Where; The Center is…

Q: Convert the equation x² + y²+2x-6y+7=0 to standard form and sketch the graph

A: Given x2+y2+2x-6y+7=0x2+y2+2x-6y+1+9-3=0(x2+2x+1)+(y2-6y+9)-3=0(x2+2x+1)+(y2-6y+9)=3(x+1)2+(y-3)2=3

Q: Sketch the parabola and line on the same graph. y = x2 + 5  and  y = 2x + 1

A: The equation of curves are  y = x2 + 5  and  y = 2x + 1

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: Given information: The vertex of the parabola is 2,-4 and the points is -2,44. Calculation: The…

Q: ex?+12メu→3E0

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: Graph y 2-2x+3 on a plane. -2- 2 3 45 ... ... .. ... ........

A: Graph is given below....

Q: 13. a) Convert y = x + 8x - 9 to Vertex Form

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Q: 2. Put the equation in standard form then sketch a graph indicating the foci and end points: 9x2 +…

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Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: From the given information it is required to calculate the equation of axis of symmetry and…

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Find b and c so that y = 7x2 + bx + c has vertex (– 6, 2). - С —

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Q: 3-115. Change the equation x²+8x+y²-12y=12 to graphing form and sketch a graph.

A: We will get the graphing form of the equation by completing the squares of x and…

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

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Q: Find the standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: Write in standard form and then graph. c)x? + y2 + 14x – 12y + 4 = 0

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Q: Rewrite y = x + 6x + 10 in graphing (vertex) form by completing the square. Show all work and upload…

A: Given: y=x2+6x+10

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: Find the output for the graph y = -6x + 12 when the input value is - 1. %3D y = [?]

A: Input values = values of x  Output values = values of y

Q: y=x²+6x-3 Put in vertex form

A: topic - polynomials

Q: Find the output for the graph y = -6x + 25 when the input value is 3. %3D y = [?]

A: Given, y=-6x+25 If x=3 y=?

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: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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