Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x, y) point. y = -4x² + 24x – 40

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…

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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=_____.

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Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

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

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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…

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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: Solve for the vertex of the parabola equation: x2-4x-12y+52=0, whose Latus Rectum is 12 and is…

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Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

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

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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: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

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

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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…

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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

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

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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: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

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

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

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

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

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Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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

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Q: Find the axis of symmetry and vertex for the parabola y = 5? + 30x – 1.

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

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Q: e the vertex of the parabola whose equat

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

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

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Q: 2 Determine whether this is a parabola: y = 2x + 8x + 5. Parabola Not a parabola If it is a…

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

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

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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…

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

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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.