Plot the given parabola on the axes. Plot the roots, the vertex and two other points.

Q: The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

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Q: Find the equation of a parabola, in vertex form.

A: Equation of the parabola in vertex form is given by :y=a(x-h)2+kwhere (h,k) is vertex of the…

Q: Construct an equation for the following parabola.

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Q: Find the standard equation of the parabola shown in the figure.

A: Find the equation of the given graph.(x-h)2=-4a(y-k) (h,k)=(2,-4) Focus(0,a)=(0,5)…

Q: Examine this parabola and determine the solutions.

A: given parabola :

Q: Determine the equation of the parabola graphed below.

A: The graph is as shown below :

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

Q: Determine whether the given equation is a parabola: y 2x2. O Parabola O Not a parabola If it is a…

A: this equation satisfy parabola standard equation hence it is , parabola y=2x^2

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

Q: Find an equation for the indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

Q: Find an equation for the parabola that has a horizontal axis and passes through the given…

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Q: Find the equation of the parabola whose graph is given below.

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Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A: General Equation of Parabola : y-k2=4p(x-h) --(1) Where (h,k) is the vertex of the parabola Focus is…

Q: Using the graph, determine the coordinates of the roots of the parabola. y 10 8 5 4. 3 1 -10 -9 -8…

A: Roots of the function from the graph

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: Write an equation for the parabola shown to the right. (3, 1) (2, 0)

A: The equation of parabola in vertex form: y=a(x−h)2+k where: h is the horizontal coordinate of the…

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given 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: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

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

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: Complete the square to find the vertex of this parabola. x² – 12y – 6x + 5 = 0 3,-

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Q: find the standard form of the equation. characleristics of the parabola with the verlex: (2,-7)…

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Q: Find an equation of the parabola whoes garph is shown.

A: From the given diagram: Square ABOC: AB=BO=OC=AC The area of the square ABOC has 16. That is,…

Q: Find the equation of the parabola

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Q: If it is a parabola, write the equation in standard form: (y - k) = 4p(x - h) or (x- h) = 4p(y – k)…

A: Given:                y-k2=4px-h                          or                x-h2=4py-k

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: Find the standard equation of the parabola shown in the figure.

A: Standard equation of parabola: y=ax-h2+k        ...(1) Where (h, k) is the vertex of a parabola.

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

A: Since the parabola is symmetric to the y-axis and has vertex at the origin, The equation of the…

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

A: Given: A parabola with vertex at V-2, 3 and passes through the point P2, 2.

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Vertex: (2,…

A: Given: Vertex is (2, -3) Focus is (2, -5)

Q: Given the parabola y =-2x² -8x+9. State the Range.

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Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: Write the equation, in vertex form, of a parabola that is shifted 4 units to the left and 8 units…

A: The graph of f (x+h) is the translation of the graph of f (x) to the left (if h>0) or right (if…

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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

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Q: 5) Write the equation of the given parabola in VERTEX FORM.

A: Given that: Graph of a parabola.

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

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Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

Q: Find an equation for the indicated half of the parabola.Upper half of (y - 2)2 = x - 4

A: Given: y-22=x-4 For finding equation of the upper half of the parabola, we take square root both…

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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