Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x, y) point. y = 5x +30x + 60

Q: If given the equation y = x2 - 6x + 10 The vertex of the parabola is and it opens (up

A: The given equation is y=x2-6x+10

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

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

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

A: Given: The given equation is y=2x2-5x-3 To find: we have to find the x-intercept

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: Given the general form of a parabola x2+6x-24y+4=0, what is the x coordinate the vertex? h=_____.

A:

Q: Determine whether the given equation is a parabola: y 2x2. O Parabola O Not a parabola If it is a…

A: this equation satisfy parabola standard equation hence it is , parabola y=2x^2

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: 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: Find the coordinates of the vertex for the parabola defined by the given quadratic function

A: We will first express the equation of the parabola in the standard form: y = f(x) = ax2 + bx + c. x…

Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

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

A:

Q: Write the equation, in standard form, of the parabola containing the following points: (0, 1), (1,…

A: We will solve the following.

Q: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

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Q: Graph the parabola and find its vertex and the axis of the parabola y =x2 - 6x + 7

A: y=x2-6x+7

Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

A:

Q: If it is a parabola, write the equation in standard form: (y - k) = 4p(x - h) or (x- h) = 4p(y – k)…

A: Given:                y-k2=4px-h                          or                x-h2=4py-k

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

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

A:

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: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

A:

Q: (b) Find the evolute of the parabola y? = 4ax.

A:

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

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: Is and directrix of the parabola: (y-7)²-6(x+9)

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Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

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

A:

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

A:

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: Graph the parabola. Label the vertex, axis, and intercepts in each case. y = x2 - 2x - 3

A: To find the vertex  So vertex is (1,-4) And axis is x=1

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

A:

Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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

A:

Q: Find an equation for the parabola that has a vertical axis and passes through the given points.P(2,…

A: Parabola that has a vertical axis passes through the points P2, 5,  Q-2, -3  &  R1, 6. The…

Q: Find an equation of the parabola that satisfies the following conditions Vertex V (-3,5), axis…

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Q: The vertex of the parabola given by the equation x2 = 20 y is (0,0) O (4,5) O (0,5) (4,0)

A: Kindly post other question as separate one.

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

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: Write the equation of the parabola x^2+10x+20y+45=0 in the standard form for parabolas

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Q: Find the vertex and roots of the following parabolas y=x2+16x+71 y=x2+4x

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Q: Determine whether this is a parabola : (x-5) = -6(y+4)2 if it is, write in standard form.  h= k=…

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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: Consider the parabola given by the equation: y=x2+10x+9 Find the two values of x that correspond to…

A: Given information: The equation is y=x2+10x+9. Calculation: Find the x-intercepts of the equation…

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

A:

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

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.