y = 4x? – 14x +7 %3D Find the following for this parabola: A) Find the vertex: Answer: The vertex = Write your coordinates as numbers or decimals, not fractions. B) Find the y intercept: Answer: (0, C) Find the two values of x that correspond to the x intercepts of the parabola and write them as a list, separated by commas:

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

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

A:

Q: 2 4x + 9to vertex form by Change the standard form equation y = x" completing the square. -

A:

Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation:…

A: To find out the vertex and focus of the parabola.

Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation:…

A:

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 23.12x=y^2

A: Given: The parabola is 23.12x=y2.   Calculation: Comparing with y2=4ax, we get 4a=23.12a=5.78…

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

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

A: Given: The given equation is y=2x2-5x-3 To find: we have to find the x-intercept

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

A:

Q: When graphed in the xyxy-plane, what is the yy-coordinate of the vertex of the parabola with…

A: given,       the parabola with equation y=−3(x−4)(x+6)

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: y=2x + 8x +9 Plot five points on the parabola: the vertex, two points to the left of the vertex, and…

A: Equation of parabola in standard form is  y = ax²+bx+c

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 13.32y = z

A: We are given the parabola : -13.32y=x2 ⇒x2=-13.32y--(1) On comparing with the equation of parabola ,…

Q: Solve for the vertex of the parabola equation: x2-4x-12y+52=0, whose Latus Rectum is 12 and is…

A:

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

A:

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

A:

Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

A:

Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

A:

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

A:

Q: Q1) Find an equation of the following parabola and sketch it where Vertex: (3,2) and Focus:(1,2)

A: Given the vertex 3,2 and the focus 1,2 of a parabola. We need to find the equation of the parabola…

Q: y = 3x? + 6x – 5

A: The given parabola is: y=3x2+6x-5...(1)

Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

A:

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 x²+2x + 4 4 Y = -

A:

Q: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

A:

Q: (b) Find the evolute of the parabola y? = 4ax.

A:

Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

A:

Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 15.6x = y?

A:

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source.  The…

A: Desining a flashlight: Position the parabola with its vertex at the origin and opening upward.…

Q: Find an equation of the parabola with focus (-8,5) and directnx X = 4,

A: Parabola is the locus of a point, which moves so that its distance from a point called focus and a…

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

A:

Q: Which is the equation of the parabola with focus (0, 8) and directrix y = – 8?

A: We will use the fundamental property of parabola.

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A:

Q: Use the method of completing the square to change General form to vertex form В. y = x + 8x + 3

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

Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

A:

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

A:

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A:

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

A:

Q: How many derivations are required for the problem involving parabolas with axis parallel to the…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

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

A: At the points of x-intercepts, y coordinates are 0, as along x-axis y=0.

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola…

A:

Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = +…

A: The equation of the family of parabolas with vertex and focus on y axis

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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.