Graph the given parabola and find its focus: Y=X squared

Q: What is the (unsigned) distance between the vertex and the focus of the parabola given by (x + 4)² =…

A: Given parabola equation,x + 42 = 19y + 5

Q: Find an equation of the parabola whose graph is shown. y Directrix X = 4

A: Equation of directrix is  X=a

Q: Find the angle at which the parabola y=x2−14 intersects the positive x−axis.

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Q: Identify each equation as a circle, parabola, ellipse, or hyperbola. a) Зx2 + 4y2— 6х — 24у — 18 — 0…

A: Given : 1.

Q: Given a focus of (2, 4) and a directrix of y= -2, find the equation for the parabola. (2-

A: Given:    focus (2 , 4)    directrix y = -2

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Find focus of the parabola y=1/2-x-1/2x^2

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given vertex is (0 , 0) and focus on negative y axis focal diameter is 2

Q: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…

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Q: Change this equation in to circle graphing form, showing work: x² – 10x + y? + 4y – 11 = 41

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Q: Determine the graph of the second degree equation x? + y² – 6y + 2x + 10 = 0. NONE OF THESE…

A: We have to choose option

Q: Given the general form of a parabola x2+6x-8y+10=0, what is the y coordinate the focus? (round to 3…

A: Explained below

Q: Use the given information to write the equation of the parabola.

A: Since the directrix is y=3, So then the foci will be (0,-3).   Find equation of parabola on y- axis:…

Q: Graph the following equations. If applicable, include any vertex, foci, directrix, eccentricity,…

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Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: find the points on the parabola y=x^2 closest to the point (0,1)

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Q: Sketch the parabola and line on the same graph. y = x + 4 and y = 2x + 2 %D

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: 12

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

Q: Find an equation of the parabola (in general form) given the following condition: opens upward,…

A: Formula for equation of parabola open upwards is: (x-h)2=4a(y-k) ......(1) Where (h,k) is vertex

Q: Find a Cartesian equation for the curve and identify it as either a hyperbola, circle, limaAson,…

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Q: Find the shorted distance from the point A(2, to a point on the parabola y = x². And find the point…

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

Q: Find an equation for the parabola shown in the figure.

A: We have given Vertex: 1, 0 Focus:6, 0   The given graph is symmetric about x-axis. Equation of the…

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

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Q: determine the coordinates of the y intercept of the parabola.

A: To determine the coordinates of the y intercept of the parabola.

Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

Q: Graph the parabola and find the indicated information. 8(y + 5) = (x – 2)2 4. Vertex: Focus:…

A: To graph and find the information about given parabola.

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

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Q: Find the focus of the parabola. -x+2x+ 5y-6=0 OD

A: Given query is to find the focus of the parabola.

Q: find the standard form of parabola from the given points.  vertex(3,1)     focus(0,1)

A: To find the standard form of parabola having vertex (3,1) and focus (0,1). Solution: The standard…

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: Find the focus and directrix of the parabola y = -x2, and sketch the graph.

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Q: How far from the vertex is the focus" .....

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Fid the equation of the tanget to the parabola  x2 - 22x + 24y +169 = 0 at  the point whose focus…

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Q: Determine the equation of the parabola opens to the right with focus at (4,3) and one endpoiny of…

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Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

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

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Q: Q: Find the vertex, focus, and directrix of the parabola and sketch its graph, for the following…

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Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

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

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Q: Find an equation of the parabola whose graph is shown. 14x y 7 Focus X 7

A: The given parabola is open left and symmetric about x-axis with vertex at origin. So,  The form of…

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

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Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

Q: Find the focus diretrix, and focal diameter of the parabola: x^2=-8y

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Q: x = ÷y² 1 4p

A: we will use basic algebraic calculations and to get p we will subtract the x-coordinate of vertex…

Q: Use the information provided to write the vertex form equation of each parabola. 2) Vertex at…

A: here we have vertex:0,0,    focus:0,18 here x-coordinate is the same for both points so the parabola…

Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…

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.