Consider the equation of parabola y = 5x - 30x + 45. %3D Its vertex is located at (

Q: The parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

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Q: The focus of the parabola y^2 = 4x is at

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Standard form x^2=4ay

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

A: we have to find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

Q: The focus of the parabola defined by the equation x2 = 20 y is %3D (4, 5) (0, 0) O A. В. (0, 5)| (0,…

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Q: Find an equation for the indicated half of the parabola.Left half of (x + 3)2 = y + 2

A: We have the given equation of parabola   the equation is (x + 3)2 = y + 2   we have to find the…

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Graph the parabola with equation y = -3(x - 1)2 + 2.

A: y=-3x-12+2

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

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Q: Graph the parabola. -2x+20x-y-47=0

A: -2x2+20x-y-47=0

Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4),…

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Q: Ay 3-

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Q: Consider the graph of  y = ax2 + bx + c, where a = -3, b = 2 and c = 1.  Is the parabola concave up…

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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: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the foci of the hyperbola. 2 4x-y- 2 32x+ 28 = 0

A: See attached file for a step by step explanation to find the foci of the hyperbola.

Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

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Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: The equation of the parabola y' = 4ax is in the standard form. FALSE O TRUE

A: The given equation of parabola is -  y2 = 4ax

Q: What is the standard form of equation of a parabola with vertex at the origin and directrix x = 3? A…

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Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

Q: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

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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: Graph the parabola and find its vertex and the axis of the parabola. y =x- 2x + 5

A: Given equation of parabola is y=x2-2x+5find vertex and axis of parabola

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

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: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: Find the point on the parabola y 2 =2x that is closest to the  point ( 1, 4)

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

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

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

Q: Graph the parabola with equation y = x2 + 4x - 5.

A: Given equation of parabola is : y=x2+4x-5

Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: Find the point on the parabola y=x2 closest to (6,3

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

Q: Find an equation of the parabola whose graph is shown. y X (4, –2)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: Find an equation of the parabola whose graph is shown. 14x y 7 Focus X 7

A: The given parabola is open left and symmetric about x-axis with vertex at origin. So,  The form of…

Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

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Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5. A y=-3/2 B…

A: Option D Is correct answer

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 21 B 21…

A:

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.