2. A parabola is defined by the quadratic equation y =- 2x² +x + 6. Use factoring or the quadratic formula to determine the x-intercepts of this parabola. You must show your work in order to receive full credit. Round answers to the nearest tenth, if rounding is necessary.

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: 2. Rewrite each quadratic equation in the form ax² + bx+c = 0. Using technology, copy and paste your…

A: a) 7x2 - 252 + 84x =0 =>7x2 + 84x -252 = 0.   Roots are x= 2.49, -14.49 b) x²+ 23x= 28 => x²…

Q: Write an equation (any form) for the quadratic graphed below: -5 -4 -3/ -2 y = 7 5 4 3 2 A 244 -2 -3…

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Q: 4. On the grid below, draw the graphs for the two following quadratic equations: (Hint: both…

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Q: State the vertex and the maximum or minimum value by completing the square. y= 1/4x2 -2/7x +3

A: Question- State the vertex and the maximum or minimum value by completing the square.   y= 1/4x2…

Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: Find the vertex of the parabola below. Keep all the decimals. -2x2 - 7x - 2 = y Write your answer as…

A: y = a(x – h)2 + k      . . . . . .. . . . . . 1 vertex : (h, k)

Q: 3) y 2r 4) y=x-4x +3

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Q: 1) Identify the vertex, x-intercept, y-intercept, and equation of the quadratic function: a) c) 0

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

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Q: 9x² +4y² –18x+16y-11=0

A: The given equation is  9x2+4y2-18x+16y-11=0

Q: Football player kicks a football held  50 cm above the ground.  football reaches a max height of 30…

A: y = a(x-t) (x-5)   Hence,               y=30-0.5…

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: 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)

Q: Complete The Square And Write In Graphing Form  y= 3x2-4x-2

A: y= 3x2-4x-2

Q: Using the factored form, find the formula for the parabola whose zeros -4 and x = 2, and which…

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Q: Write an equation (any form) for the quadratic graphed below: 4 2 -5 -4 -3 -2 -1 -1 -21 P -44 1 3 4

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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: Solve the parabola and show the

A: Given,          y2+2x+y-3=0