Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y = Answer: Submit Answer

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: We have to find

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: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

Q: Construct an equation for the following parabola.

A:

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: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

A:

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

Q: Determine: the vertex, the focus, an equation for the guideline, an equation for the axis, and the…

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Q: The vertex of the parabola given by the equation x2 = 20 V is

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Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

A:

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

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Q: Find an equation for the parabola that has a horizontal axis and passes through the given…

A:

Q: Nhat is the equation of the family of parabolas with vertex and focus on the y-axis? A (y-k)² = ±…

A: A parabola is an equation of curve in which a point on the curve is equidistant from a fixed point…

Q: Convert the equation y2 - 2y + 12x - 35 = 0 to standard form by completing the square on x or y.…

A: Consider the provided parabola equation, y2-2y+12x-35=0 Find the vertex, focus, and directrix of the…

Q: Describe the part of a hyperbola given by the equation.

A: A hyperbola is a type of conic section formed when a plane cuts a right circular cone. Consider a…

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: Given,           The equation is x-32+y+12=16 .We know that,           The standard equation of…

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

A:

Q: Which equation refers to a hyperbola with the center at the orig x² y² a² = 1 b2

A:

Q: find the standard form of the equation. characleristics of the parabola with the verlex: (2,-7)…

A:

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation x2…

A: Given equation is x2+8x+8y=0   ....1

Q: Find the equation y = ax2 + bx + c of the parabola that passes through the points (-2,0), (0, –14),…

A: See attached file for a step by step explanation to find the equation of parabola.

Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

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

A:

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: Compare with standard equation of parabola and then solve it.

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 4x2 - 16x + 9y2 + 36y = -16 We have to identify the given conic equation.

Q: nd the equation of the axis of symmetry of the following parabola using graphing chnology. y = -x2 +…

A: to graph the function we need a few points

Q: If the focus of a parabola whose vertex is at the origin and which opens down is (0, -4), what is…

A:

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

A:

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: given…

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A:

Q: What is the location of the vertex of a parabola given the equation y2+6y-9x-12-D0? O (3,-7/3) O…

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Q: Find the vertex, focus, and directrix of the parabola and sketch its graph, for the following…

A: The equation of the parabola is . By simplifying the given equation of parabola it becomes,

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 4x…

A: Solution is given below:

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A:

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 5x…

A: The solution are next step

Q: Find the vertex, focus and directrix of the parabolas whose equations are as follows: y2 + 6y + 8x +…

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Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

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Q: Decide whether the equation 2x2 + 8xy + 8y² + 12x + 24y + 18 = 0 Represent an ellipse ,parabola or a…

A: we have  2x2+8xy+8y2+12x+24y+18=0

Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = +…

A: The equation of the family of parabolas with vertex and focus on y axis

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: The solution of the problem is given in the next step.

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A:

Q: Find an equation for the indicated half of the parabola.Upper half of (y - 2)2 = x - 4

A: Given: y-22=x-4 For finding equation of the upper half of the parabola, we take square root both…

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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.