east and y-x?+2(bluelis hamet the cut poi of the parabola its progection to its. axis O inter sects the x-axis orly. Accordinglyy, for the shaded dA in the tique , whic! af is equal to ? /2 Lecolor

Q: Find the parabola's focus and directrix. Then sketch the parabola. y= -6x2 The focus is (Type an…

A: Given that: y=-6x2

Q: Consider a horizontal parabola of the form ay² + by + c = x where a = 0, and whose graph contains…

A: We have to find the equation of horizontal parabola  ay2+by+c=x The graph contains the points -1,3.…

Q: A translation moves or maps every point the same distance and direction. The standard form of a…

A: The parabola is the locus of the point P(x,y) that is equidistance from focus F(h,k) and directrix…

Q: etermine: the focus, an equation for the guideline, an equation for the axis, and the equation for…

A: In this question, concept of equation of parabola is applied. Equation of Parabola A parabola is a…

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: what should be the value of n in the equation x2 - 8y2 + ny -16 = 0 so that the equation of the…

A: To find the value of n in the equation x2 - 8y2 + ny -16 = 0 so that the equation of the hyperbola…

Q: he axis of symmetry is parallel to the y-axis and the parabola passes through the points (0,0),…

A: Given that: Axis of symmetry parallel to y-axis and parabola passes through (0, 0), (3, 0) and (-1,…

Q: A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus and the…

A:

Q: Rectangles beneath a parabola A rectangle is constructed withits base on the x-axis and two of its…

A: Consider the figure,

Q: parabola: 32.8y = 1? The focus is (0,.82) The directrix is y=-8.2 The focal diameter is 5 The vertex…

A:

Q: 6. A parabola has its axis parallel to the y- axis, one end of its latus rectum is at (9, 6) and the…

A:

Q: 5. Find the vertex and equation for the parabola in vertex form. Show your work by copy and pasting…

A: We will find the values of a,h,k using the given diagram. then we will find the equation of the…

Q: Parabolas with vertex on the y-axis, with axis parallel to the x-axis, and with distance from focus…

A:

Q: The directrix of a parabola is x = 0. Its focus is (2, 6). What is the standard form of the…

A:

Q: II. Determine the vertex, focus, directrix and axis of symmetry of the following parabola. 1. y =…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y 11 –…

A:

Q: Vertex Form: y = (x + 5)² – 1 1. Does the parabola open up or down? O UpO Down 2. Vertex (x, y) = 3.…

A: y = (x+5)2-1 the given equation can be written as y +1 = (x+5)2 ⇒(x-(-5))2 = y -(-1)∴Vertex of the…

Q: O The point (8, 6) is the same distance from the point (4, 3) as it is from the line y O The point…

A: It is given that the parabola in the image has focus ( 4, 3) and directrix y=1 It is also given that…

Q: Find the parabola's focus and directrix. Then sketch the parabola. x= 9y? The focus of x= 9y is.…

A: i am going to solve the given problem by comparing it with the standard form of parabola and get the…

Q: The parabola in the figure below has vertex (0, 0) and focus F (3, 0). Its directrix is the vertical…

A: Given problem:-

Q: (a) Does the parabola open upward or downward? upward O downward (b) Find the intercept(s). For both…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the parabola opens

Q: 2. A parabola whose focus is at the point (2,0), has a directrix whose equation is x = 6. For this…

A: This question is based on property of perabola. With jelp of focus and directrix we find the…

Q: -7 7 -6 -5 43-2 1 -2 -4 -6 -7+ The vertex of the parabola is The axis of symmetry is Preview The…

A: The vertex of the parabola is, (4,-3)

Q: G A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y =…

A:

Q: TRUE or FALSE Write true if the statement is true and False if otherwise. Write your answers on the…

A: We have to define if the given statements are true or false.     According to our guidelines we can…

Q: 2. The parabola defined by the equation 4x² + 6x – 3y = 4. Parabola opening (shade): Graph: O To the…

A:

Q: Find the standard equation of the parabola with the vertex (3,2) and the directrix y = - 2. Also…

A:

Q: The cross-section of the reflector in a flashlight is a parabola. Suppose the light bulb is lo-…

A: Consider

Q: TRUE or FALSE Write true if the statement is true and False if otherwise. Write your answers on the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 3. Using a Surface of Revolution. Imagine that the parabola given by * = 4py is revolved about the…

A:

Q: 3] Can you make a parabola from a wiggler? Well...kind of! Show that, with appropriate choices for…

A:

Q: (a) Does the parabola open upward or downward? O upward O downward None (b) Find the equation of the…

A: NOTE: Refresh your page if you can't see any equations. . we can clearly see that the parabola opens…

Q: Consider a horizontal parabola of the form ay² +by+c = x where a 0, and whose graph contains the…

A: Given: A horizontal parabola ay2+by+c=x, where a≠0 and whose graph contains the points -1, 3, 2, 4…

Q: 10 8. 6. 4. -10 -8 10 -8- (a) Does the parabola open upward or downward? 몸 O upward downward Nor (b)…

A: Given query is to find the characteristics of parabola from the graph.

Q: Perrin is experimenting with the parabola y=x². He draws the graph shown below: 20 16. 12 4 8 12 16…

A: Given equation of the parabola is:…

Q: Find the focus, directrix, and length of the latus rectum. Graph the parabola. Label the vertex,…

A:

Q: 1. Graph the parabola y = x² – 4 Use the graph to determine the vertex of the parabola, the axis of…

A:

Q: 11. It y = c, the directrix is to the right of the vertex. 12. The axis of symmetry of parabolas in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Rectangles beneath a parabola A rectangle is constructed withits base on the x-axis and two of its…

A: Solution:-  A rectangle is constructed withits base on the x-axis and two of its vertices on the…

Q: An arch is in the shape of a parabola. It has a span of 102 meters and a maximum height of 17…

A: If you like the solution then please give it a thumbs up... The Answer is:  1. Equation :  y =…

Q: (-)- 17 Find the equation for the parabola that haar its focus at 4 55 and has directrix I= 4 The…

A:

Q: A segment of a parabola is an area bounded by the parabola and a line perpendicular to the axis of…

A: The given equation of parabola y2=4bx these vertex is at (0,0) and x =b is the line perpendicular to…

Q: (a) Does the parabola open upward or downward? O upward O downward None |(b) Find the coordinates of…

A: Solution

Q: 1. A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus and the…

A: To Determine: a) find an equation of the parabola  b) find the diameter d(C ,D) of the opening ,27cm…

Q: 10. V(-4, 2), axis of symmetry is parallel to the x - axis, parabola passes through (0, 6) Mini Task…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains the…

A:

Q: Find the focus, directrix, and length of the latus rectum. Graph the parabola. Label the vertex,…

A:

Q: Find two possible equations for a parabola with a vertex V(0,2) that passes through the point…

A:

Q: y=-2(r-3)²–4 lot five points on the parabola: the vertex, utton.

A: given, Equation of a parabola. y = -2(x-3)2 - 4 General Equation of a parabola y = a (x-h)2+k where…

Q: The equation of parabola with directrix x=2 and focus at the point (-2,0) is a. x^2 = -8y b. x^2 =…

A: