Verify that the point lies on the graph of the unit circle. (1/2, square root3/2) We check the point by showing that the coordinates satisfy the equation of the unit circle. x^2+y^2=1/2square2 +( )^2 =1/4 +(__)/4 =(____) Thus, the point ((1/2, square root3/2) does lie on the graph of the unit circle.

Q: (X+2)^2=6(Y-1) Graph the equation. Plot the vertex and the endpoints of the latus rectum.

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Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

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: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =1- x².…

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Q: (0,。) - V (10)

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Q: Use the method of completing the square to transform the quadratic equation into the equation form…

A: First Make the coefficient of x^2 unity and then add and subtract the square of 1/2 of coefficient…

Q: Suppose the x-intercepts of a parabola are -1 and 5. Q) write a quadratic function with these…

A: Given query is to find the quadratic equation of with x intercepts.

Q: write the equation of a parabloa whose vertex is at the orgin and passes through (- sqrt 7 , -14)

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Q: A student is asked to graph any cubic function, and then determine the equation of the function in…

A: A cubic function has 3 roots. Either one root is real and remaining two roots are imaginary or all…

Q: Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens…

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Q: Use the intermediate value theorem to show that the the given equation equation has a real root.…

A: Then we find few values of f(x) by selecting a few values for x. (Until we get opposite signs of…

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: A parabola whose equation is x ^ n-8Y = 12ny Find its focus and the equation of its guide

A: we know general formula of parabola X2=4ay So we put n=2 and find the equation of a parabola and…

Q: Use the Distance Formula or Pythagorean Theorem to find the distance between the pair of points.…

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Q: (-6x^(5))/(x^(2)-25) please explain step by step how to find the x and y intercepts as well as…

A: y=-6x5x2-25

Q: Stacy says the equation of a circle with a radius of 1/2 and a center at (5,-9) is (x-5)^ 2 -(y+9)^…

A: Write the standard form of equation of circle and Substitute the given values.

Q: An historic, parabolic arch which provides a walkway under a building can be modeled by the 36…

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Q: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

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Q: could you please show the steps of how you obtained that rectangular equation? thank you!

A: As per the question we are given the equation of an ellipse in parametric form, and we have to find…

Q: Vhich of these quadratics results in the skinniest parabola? O y = 4(x – 3)² +7 O y = -6(x+ 1)² O y…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.