Consider a parabola with x-intercepts (-1,0) and (3,0) and which passes through the point (4,-10). Substitute the x-intercepts into the general factored form of the quadratic equation: y= a(x-p)(x-q). Solve for a. ..... Write the quadratic equation (including the correct value of a). ......

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A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

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: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

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…

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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

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A: We will find out the required value.

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

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Q: Find the standard equation of any parabola that has vertex V.

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

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

A: Given : y - 22 = -4x - 8

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: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: Find the equation of the parabola given 3 points using quadratic formula. (-3,38) (25,51) (-1,65)

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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: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

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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 given conditions.Vertex at the origin, symmetric…

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Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

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A: The given equation is;  y=x2-8x+7.

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Q: Determine the standard equation of parabola X²-6x+5y=-34

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

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

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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…

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A: Here we find the intersecting point of parabola and the line.

Q: Find the x intercepts of the parabola y=3x^2+10x+8

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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 the standard equation of any parabola that has vertex V.

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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: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

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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: Write an equation of the parabola in intercept form. 14. x-intercepts of 3 and -4; passes through…

A: equation of the parabola in intercept form is given below- y=a*(x-p)*(x-q) where p,q are intercepted…

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.