Obtain the graph of the parabola y = -x? + 4x using transformations of the graph of y = x². Explain each step.

Q: Graph the parabola y=(x^2-100x)/50

A: Graph the parabola y=(x^2-100x)/50

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: Sketch a graph of x = - 3t – 1, y = t – 3 . - 5- 4-

A: NOTE: Refresh your page if you can't see any equations. .

Q: Sketch the graph of the equation by making a table and plotting points. 2x - y + 1 = 0

A: The graph for the equations can be created by plotting points using the respective function. For…

Q: Graph y = x - 4x2 + 2x +7 on the set of axes below.

A: We have to draw the graph of given function.

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: graph the parabola f(x)=x^2-x-6 please step by step, show all your work please!!!

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Q: Graph the parabola y = -2(x - 1)2 + 4.

A: We have given equation of parabola y=-2x-12+4 y-intercept of the parabola y0=-2-12+4=2 So,…

Q: Use transformations to graph the equation . y = 3ex - 2.

A: The given equation is y=3ex-2

Q: y-Vx-4-3

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Q: Find focus of the parabola y=1/2-x-1/2x^2

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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: Write an equation for the parabola shown to the right. 16- K0,10) (- 5,0) -16 16 -16-

A: Let's find.

Q: Use transformations to graph the equation y = | x - 3 | + 2.

A: Given: The equation y=x-3+2 .

Q: Graph the parabola   y=(x-3)2  +4

A: Given, the parabola equationy=(x-3)2  +4The entire parabola translates 3 units to the right and 4…

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: represent the graph of y = x + 1?

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

Q: Use transformations to graph the equation y = 3ex- 2.

A: Transformations on standard functions are carried out to obtain the graph of a transformed function…

Q: Graph the parabola y = x^2 + 1

A: The given parabola is upward as coefficient of x2 is positive. Also when x=0 the value of y is equal…

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 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: Sketch the graph of y x² +1

A: Consider the equation  y=xx2+1

Q: Describe the equation x2 + y2 - 2x + 4y - 4 = 0. Graph it.

A: x2+y2-2x+4y-4=0 On simplification, we get…

Q: Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 5 10 (-3, –2) -5 -10f Step…

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Q: y — х (25, -5)

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

A: Given: y=3x+2 The graph of the given equation is,

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

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

A: Given:                 y=13x-1   Let's tabulate the values for x and y for the given equation: x…

Q: Find the equation from the graph.

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Q: Use a graphing utility to graph the equation: x2 + 4xy + 4y2 + 10√5x - 9 = 0

A: we have been given the equation   x2 + 4xy + 4y2 + 10√5x - 9 = 0

Q: What Went Wrong? A student stated that the center and radius of the graph whose equation is 1x + 32…

A: Explanation:-  The standard equation of the circle with center at (h, k) and radius r is, x-h2 +…

Q: Graph the parabola. y=-3(r+5)-3

A: The given equation of the parabola is  y=-3(x+5)2-3

Q: Sketch a graph of = -t– 2, y=t- 2.

A: NOTE: Refresh your page if you can't see any equations. . make a table value to graph the functions

Q: Find the dependent value for the graph y = 15 – 3x when the independent value is 2. %3D y = [?]

A: Consider the dependent variable y=15-3x Here, the objective is to find the value of dependent…

Q: Sketch the graph of (x + 3)² + y² = 11.

A: x+32+y2=11 It is in the form of x-h2+y-k2=r2. Therefore it represents a circle with center at h,…

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

A: y=2x-3

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

A: Given equation: x=-9-y2

Q: Find the focus of a parabola passing through (-4,-6) whose vertex is at (-2,-4)(and whose axis is…

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

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Q: Graph the parabola (y = 2x? - 3x - 5)

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Q: Graph the functien Q1 y= 2 :-

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Q: graph each equation by plotting points. Verify your results using a graphing utility 5x+2y=10

A: Given equation: 5x+2y=10

Q: Use the derivative to find the vertex of each parabola y = -2x2 + 12x - 5

A: y=-2x2+12x-5

Q: Graph y = x-4x2 +2x +7 on the set of axes below. 9.

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Q: Identify the vertex of the parabola. y=x-12x+43

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Q: find the vertex of each parabola. y = (x + 3)2 - 1

A: Given that, y=(x+3)2-1 Simplifying the above equation we get, y=x2+6x+9-1y=x2+6x+8

Q: Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

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Q: Use a graphing utility to graph the equation 7x2 + 8xy + y2 - 1 = 0.

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

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

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.