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

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: A rope bridge crosses a ravine that is 100 feet wide. The bridge drops down from the edge to a low…

A: Given that the equation of the bridge is: y=1250(x-50)2-10  If I am 30 ft from the left end, then…

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: Use the quadratic formula f(x)=2x^2−8x+5 to determine the coordinates of the vertex of the…

A: Given,         The function is fx=2x2-8x+5 .

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: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 2x – 15 |…

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Q: Explain how to decide whether a parabola opens upward or downward.

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Q: Graph the parabola   y=(x-3)2  +4

A: Given, the parabola equationy=(x-3)2  +4The entire parabola translates 3 units to the right and 4…

Q: a. Consider the parabola f(x) = x² + 6x + 5 i) Write the equation in vertex form. ii) Find the…

A: i) Equation in vertex form:The vertex form of a parabola is given by f(x) = a(x - h)^2 + k, where…

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: A parabola has zeros at -6 and 10. Its vertex is located at (2, 16). Determine the equation of the…

A: The detailed solution is as follows below:

Q: Graph the parabola y=−x2−2x+8 by plotting the x- and y-intercepts. Move the key points to create the…

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Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

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Q: Complete the square & write in vertex form: y = 3x^2 - 12x + 5 Show all work please

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