Problem 4 Find a,b,c, and d in the cubic equation y-ax³+bx²+cx+d whose graph has a horizontal tangent line at (- 4,8) and (2,10) Ans: a b C d 2/27 - 2/9 16/9 376/27 -

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: What is the most time-consuming part in using a graphing utility to graph a general second-degree…

A: To discuss about graphing utility.

Q: 4- Find the equation of the straight line through A(3,1) parallel to the line AB whose equation…

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Q: Which function shown below would not have its equatic (3))=x-4 (4) y = x² - 6 (1) y=10-2x (2) y =…

A: To reflect the graph of f(x) about y-axis we change the coordinates of graph of f(x) from (x,y) to…

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

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: dius 9 units and center dius 3 units and center

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Q: The point to which the origin should be shifted in order to eliminate x and y terms in the equation…

A: When origin is shifted from (0, 0) to (h, k), the point P(x, y) changes to P'(x-h, y-k) .

Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: write the equation of the quadraticfunction whose graph is a parabola containing the givenpoints

A: Let the equation of the quadratic function be: fx=y=ax2+bx+c This function passes through the points…

Q: Directions: Transform the following equations into standard form.   10. x^2 - 3x = -2   11. y^2…

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Q: The line y = 5x +353 is tangent to the graph of y = 2x³ - 6x² - 139x + 1 at the point

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Q: A line 4x+y=1 through the point A(2,-7) meets the line BC whose equation is 3x-4y+1=0 at the point…

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

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: Find the equation of the straight line through C(2,0) parallel to the line CD whose equation…

A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

Q: the circle (x-2)^2+(y-5)^2=16 is moved up 3 units and to the left 1 unit. where is the center of the…

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Q: What is the effect on the graph of a parabola if it's equation in standard form has increasing value…

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Q: =2x2 _4x-16 y=2x'

A: We have given function y=2x2-4x-16 y=2(x2-2x)-16 y=2(x2-2x+1-1)-16 y=2(x2-2x+1)-2-16 y=2x-12-18…

Q: Find the equation of the parabola y = ao + a₁ + a2x² that passes through the points (-1 -9), (0,…

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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: Find the equation of the cubic that best fits the given points: (-3, 1), (0, -1), (2, 5), (4, 2),…

A: X Y -3 1 0 -1 2 5 4 2 5 0