the line X-y+2 touches the Tarabola %3D x find the Focus of the Parabola

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Standard form x^2=4ay

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

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

A: Equation of directrix is  X=a

Q: Find an equation of the parabola whose graph is shown. y Focus 2 7 2

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Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: Write the equation of a parabola whose directrix is y=-10.75 and has a focus at (−7,−1.25)…

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Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

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Q: Find an equation of the parabola whose graph is shown. y 7 Focus 2 X 7 2

A: if focus of the parabola (-a,0) then equation of the parabola y2 = - 4a x

Q: graph the parabola f(x)=x^2-x-6 please step by step, show all your work please!!!

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 13x+2=y2

Q: Find an equation of the parabola whose graph is shown. shaded focus region has area 8

A: as we can see that the shaded portion is in the form of a rectangle.  the latus rectum passes…

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

A: Given: Focus: F0,-34 To Find: Equation of the parabola that has vertex at the origin and satisfies…

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

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Q: Transform the equation into center-radius form. Draw its graph x² + y² - 2x + 4y -4 = 0

A: We have to find out centered and radius form

Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: In the graph to the right, the equation of the parabola is x = (y-2)2 and the equation of the line…

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Q: graph the parabola. determine the focus, vertex, and directrix  x2 = -12y  y2 = -14x  1/8 ( x -…

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Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: Graph the vertical parabola for y = 2(x – 4)² – 3. %3D

A: We will compare given equation with, (x-h)²=4a(y-k) So, vertex for this is (h,k) Directix : y-k+a=0

Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

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Q: Find an equation of the parabola whose graph is shown. y Directrix x = -2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: sketch a graph of each parabola. Label the coordinates of the vertex and the equation of the axis of…

A: Solution: The objective is to find the vertex and the axis of symmetry

Q: Sketch the parabola and line on the same graph. y = x2 + 5  and  y = 2x + 1

A: The equation of curves are  y = x2 + 5  and  y = 2x + 1

Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: What is the equation of the parabola given:  vertex at (-5, 1) and focus at (-5, 0.5) ? Write the…

A: Given, Vertex at (-5, 1) Focus at (-5,0.5) We know that the vertex form of the parabola is,…

Q: What are the coordinates of the focus of the parabola? (y-2) = -20 (x +1) -20 (x + 1) %3D Enter your…

A: Given; ( y-2)^2=-20(x+1) We have to find focus of given parabolic

Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: the given equation is: x2+6x-y2=7 we have to identify the graph of the given equation as a parabola…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(-1, 0), Focus F(-4, 0)

A: Given that vertex V(-1, 0), Focus F(-4, 0). Thus, h,k=-1,0. Focus: F-4,0=Fh+b,k.

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

Q: Find an equation of the parabola that has focus F (-3,-3) and directrix y = 1

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Q: Write the equation of a parabola whose directrix is æ = 4.5 and has a focus at (13.5, 4). Preview

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Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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Q: 3. Complete the table for each parabola Equation Y= -0.4(x-2)2 Y = 3(x + 5) 2 + 3 Direction of…

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given that, y2=143-x2

Q: In the graph to the right, the equation of the parabola is x= and the equation of the line is y = 9-…

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Q: Find an equation of the parabola with focus (-6, -3) and directrix x= 4. ロ=ロ

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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: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

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

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: Find the equation of a parabola whose focus is at(2,-3) and directrix's equation is x=5.

A: Distance between the point x1 , y1 and a lineax+by+C=0 is ax1+by1+Ca2+b2

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: x+4=y2+y

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(1, -2), Focus F(1, 0)

A: Given that - Vertex V = 1,-2Focus F = 1, 0We see that x coordinate is same here that means, focus…

Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.