Given the general model of the parabola y=ax²+bx+c Find the equation of the parabola that passes through the points A(-2, 3) B(1,-4) C(4,8) y= x² + Round to 4 decimal places X+

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

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Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Find the equation of the trigonometric fune- tion given graphically on the right figure in the form…

A: The general form of a sin function is of the form f(x)=a sin(b(x-c))+d, where a is the amplitude of…

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…