18. The equation of the parabola is y2 + 24x + 144 0. Solve the following. Standard form of the parabola, b. Vertex a. Direction of the opening of the parabola d. value of p,

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: 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: 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: 6. y = x + 6x + 4 Axis of Symmetry: Vertex: Sketch:

A: Consider the equation: y=x2+6x+4 Compare the given equation with standard equation, y=ax2+bx+cAfter…

Q: A parabola is represented by the equation y=x² + 4x, which graph best represents the parabola? A VA…

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Q: Write the standard equation of parabola in a General Form Show the solution. 1. x² = 2 ( y + 4 )

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: b.) 3x2 – 2x – 5

A: given quadratic polynomial is                                       P(x)=3x2-2x-5 we have to find…

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: 2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). L

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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: II. Find an equation of the parabola graphed. 2.

A: The equation of the parabola: - A parabola is a curve equation in which a point on the curve is…

Q: 7. Graph the following quadratic equations (on graph paper) by your graph the vertex, y-intercept &…

A: Question 1,Part a,            y=x2+4x+2(b)y=-12x2-2x+2

Q: 22.

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Q: 4. By completing the square, write y = -3x2 – 18x – 19 in the form, y=a(x-h)² + k. Determine the…

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Q: 6. Write the equation y = x² - 4x + 2 in vertex form.

A: Given, y=x2-4x+2

Q: 2. For the parabola f(x) = 2x² + 10x + 12 a. Find the vertex. b. Write the parabola in vertex form.…

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

A: We have to find a) vertex of parabola.b) equation of parabola in vertex form.Concept/Formula…

Q: ■ f(x) = x² + 6x + 5

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Q: a)/ Complete the square to find the vertex of the parabola y = 2x2 + 2x + 3. Enter your answer as a…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…