b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the parabola. f(x) = 10x. -

Q: Find the parabola with equation y=x^2+bx+c that has slope of 8 when x=9 and passes through the…

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 11 at x = 1, slope -25 at x = -1, and…

A:

Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: Consider the parabola y = -x +4x + 9 and the line y=2x + 1. Solve for the x-coordinates at their…

A: x - coordinates of the point of intersection = ?

Q: If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of…

A: The path of the basketball through the hoop is modeled by the parabola,

Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

A:

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: A parabolic arch has an equation of 3x 2 + y – 300 = 0. a) What is the maximum height of the arch?…

A:

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

A:

Q: Give 3 points that lie on the parabola y=x^2-5x-2

A:

Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

A:

Q: What point on the parabola y=(6−x)2 is closest to the point (6​,6​)?

A:

Q: Sketch the parabola y = x² + 2x +1. Use arrows to indicate the maximum and minimum values of y over…

A:

Q: Determine the standard equation of parabola X²-6x+5y=-34

A:

Q: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

A: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

A: The given equation of parabola is y2=4ax. The objective is to calculate the area bounded by the…

Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

A:

Q: Determine the points of intersection of the parabola y=2x^2 +12x +10 and the line y=4x+2

A: I am attaching image so that you understand each and every step.

Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: The equation of the line touching both the parabolas y = 4x and x' =-32y is x-2y+1 = 0, then a is

A: Introduction :

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

A:

Q: 1. Determine the equation of the parabola whose vertex is at the point (-1, –1) and whose directrix…

A: We have to determine the equation of the parabola whose vertex is at the point (-1,-1) and whose…

Q: Find a parabola with equation y=ax^2+bx+c that has slope 4 at x = 1, slope -8 at x = -1, and passes…

A:

Q: 1. Describe an algebraic method for determining the x-intercepts, if any, of a parabola which…

A:

Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: If a is greater than or equal to zero the equation of the parabola is of the form?

A: Parabola is a three dimensional curve, where any point is at fix distance from the point called…

Q: 8. Use the discriminant to determine the number of x-intercepts of the parabola g(x) = 4x² + 3x – 3.…

A: Concept:[a] If the discriminant is positive, the parabola has two x-intercept.[b] if the discriminat…

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

Q: Does the parabola y=2x^2-22x+3 have a tangent whose slope is -2? If so, find an equation for the…

A:

Q: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Q: Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also,…

A:

Q: Find the parabola with equation y = ax? + bx whose tangent line at (2, 8), is y = -2x + 12.

A:

Q: Determine the standard equation of parabola Show your solutions X²+2y+y-1=0

A:

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.