Basic Math question and answers for October 24, 2024
- Q Find an equation for the ellipse whose vertices are at (2, -9) and (2,3), and focus is at (2,2). Graph the equation.
- Q A tunnel is constructed with a semielliptical arch. The width of the tunnel is 70 feet, and the maximum height at the center of the tunnel is 20 feet. What...
- Q Graph the ellipse. Identify the center, vertices, endpoints of the minor axis, and foci.8x=160-5yThe center is ().The vertices are(Simplify your answer. Type an ordered pair. Type exact answers for each...
- Q An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an equation for the track if its center...
- Q Let S be the ellipsoid(x/4) + ( y/3 ) + (z/2) = 1. Calculate the flux of F = zi over the portion of S where x, y, z ?...
- Q What is the standard form equation of the ellipse that has vertices (0, 14) and co-vertices (+1,0)?Select the correct answer below:0 + = 1Oyx + x = 116O +1O +...
- Q Write an equation for the ellipse that has vertices (11,0) and co-vertices (0, 1). Provide your answer below:
- Q Use the method of completing the square to find the standard form of the quadratic function f x x 6x 1 y State the vertex and axis of symmetry of...
- Q Todd hit a golf ball 250 yards The maximum height the golf ball reached was 35 yards Assume the path of the ball is parabolic Write an equation for the...
- Q Consider the parabola given by the equation: f(x) = 4x 10x-4Find the following for this parabola:A) The vertex:B) The vertical intercept is the pointC) Find the coordinates of the two...
- Q The height y (in feet) of a ball thrown by a child isy=-1/14 x + 2x + 3where is the horizontal distance in feet from the point at which the...
- Q Find the reflection of the function y = x over y-axis.The reflection along the y-axis is (-x).The reflection along the y-axis is x.The reflection along the y-axis is -x.
- Q Describe the transformations to the parent function. Check all boxesthat apply.f(x)=1/3(x - 2)Reflects across the x-axis (open down)Stretched by a factor of 3 (Narrower)Compressed by a factor of 3 (Wider)shifts...
- Q Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x-4x-5. If there is more than one x-intercept, separate them with commas.
- Q Use the information provided to write the vertex form equation of each parabola.Vertex: (-7,-5), Focus: (-7,-41/8)y = (x +9) - 7y = 2(x - 5) +7y- 1/2(x-5)-7y = -2(x+7) -...
- Q Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences...
- Q Identify the surface defined by the following equation.16z + y = 9The surface defined by the equation is _____
- Q Given the function g(x) = -(x-3) - 2. Determine if the function has a maximum orminimum and what are the coordinates of the vertex?a. (-3, -2) minimumb. (3,-2) maximumc. (-3,...
- Q Find the y-intercept of the parabola.f(x) = -2x^2-12x-10
- Q The mirror in an automobile headlight has a parabolic cross-section with the light bulb at the focus. On a schematic, the equation of the parabola is given as x^2= 4y....
- Q Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.h(x) = (x + 3)^2Use the graphing...
- Q An arch is in the shape of a parabola. It has a span of 800 feet and a maximum height of 40 feet. Find the equation of the parabola (assuming...
- Q Convert the equation to standard form by completing the square on x or y. Then find the vertex, focus, and directrix of the parabola. Finally, graph the parabola. x +10x-4y+5=0
- Q Find the standard form of the equation of the parabola satisfying the given conditions.Focus: (0,30); Directrix: y=-30The equation of the parabola is
- Q Give the domain and range of the quadratic function whose graph is described.The vertex is (-8, -7) and the parabola opens down.The domain off is. (Type your answer in interval...
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