4) Given the parabola y = 3(x-6)(x + 2), find the x-intercepts and use them to find the axis of symmetry and the minimum value (vertex) algebraically.

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Q4) Find the y-intercept, x-intercept(s) and the vertex point for the parabola y = x2 + 6x + 5 then…

A: Given: Parabola: y=x2+6x+5 To Find:  The y-intercept, x-intercepts and the vertex point for the…

Q: Complete the square to write each in vertex form. Then identify the vertex. 1. a. f(x) = x² - 8x +…

A: Please see the below picture for detailed solution.

Q: create a unique parabola for the pattern  fx=(x-a)(x-b), integers cannot be one or zero for a and b…

A: We have to create a unique parabola for the pattern  f(x)=(x-a)(x-b).

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

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: Show, by completing the square, that the parabolay = ax2 + bx +c can be obtained from y = ax 2 by a…

A: The given equation of parabola is y=ax2+bx+c. Rewrite the above equation as follows.…

Q: 2. a. f(x) = 5x² + 40x + 77 b. y = 2r + 12x + 17 c. y = 2x – 8x + 1 d. y = 2x – 6x – 1 — 1

A: To write the vertex form of the given quadratic equations. Note that the vertex form of the…

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

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Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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: Write in standard form the equation of a vertical parabola with its minimum point at ( 5.3, - 42.7…

A:

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: Find the standard form of the parabola that opens to the right ,has a vertex of (6,2).

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Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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Q: Point A(2; 3) is the intersection point of the asymptotes of the hyperbola, а h(x) = x - P A(2:31|

A: To find : The equation of the parabola , p(x)

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

A: