Write the following equations of parabola in the standard form. a. y = -4(x + 2)² – 3 b. Зу — 9х + 21у %3D 6 с. 5у- 10х? %3D- 20х + 15

Q: What is the turning point of the parabola whose equation is y = 2x2 + 4x- 3? А (1,3) С 2, 13) 8…

A: The turning point is the vertex.  The formula is   -b2a given equation y=2x2+4x-3compare the…

Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

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: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

Q: Write an equation for each parabola.

A: Let's assume equation of parabola is  y=ax2+bx+c…

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Write an equation for the parabola shown to the right. 16- (0, 5) (2, 6) -12 12 -4-

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Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: Write an equation for the parabola shown to the right. 16- K0,10) (- 5,0) -16 16 -16-

A: Let's find.

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

A: 9x2 - y2 = 10 - 2y

Q: Write the equation of a parabola in standard form from the given information x^2 - 6x - 8y + 25 = 0

A: Standard form of parabola is either in form (y-k)2 = 4p(x-h) or (x-k)2 = 4p(y-h)

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

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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: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola .  General equation of parabola :  y = (x - h)2…

Q: Find the equation for the hyperbola whose graph is shown. y 30- 20 10 F1 (0, 17) -30 -20 -10 10 20…

A: Given:  Focii: F10, 17, F20, -17.

Q: Write an equation for the parabola shown to the right. 16- 0,10) (5,0) -16 16 -16

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Q: What is the y-intercept of the parabola whose equation is y=x^2+5x-6

A: For any equation or function substitution x = 0 to get the y-intercept.

Q: Find the equation of the parabola

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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: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

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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: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of the parabola whose focus is (-2,-15/4 ) and whose directrix is y = -17/4.

A: Given focus of parabola is    -2, -154 and directrix is    y=-174

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

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: y — х (25, -5)

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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: Write the equation of the parabola in standard form, whose vertex is (-3, -4) and the graph passes…

A: Given: vertex-3,-4 and passes through point1,4 we know that equation of parabola in standard form…

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: 10- (3,2) -10 10 (6,-7) -10

A: The vertex of the given parabola is:  (h, k) = (3, 2)

Q: Sketch the parabola and line on the same graph. y = x2 + 4 and y = 2x + 2

A: Given, y=x2+4   y=2x+2  The graph of given functions can be plotted as shown in the figure below.

Q: 本y 10- (- 1, 3) ► (0, 2) -8 6 -6-

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Q: Write the equation of the parabola that has "a" value 2 and roots -1 and 4.

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Q: Determine the equation of the parabola whose graph is given below. -7-6-5–4-3-2-1, 1 2 3 4 5 6 -2

A: Vertex of the parabola, V = (-4,3) = (h,k) This graph also passing through the point(-3,5)

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: Find the focus of a parabola passing through (-4,-6) whose vertex is at (-2,-4)(and whose axis is…

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Q: The value of the "x" coordinate of each point of intersection between the parabola of the equation…

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Q: What is the x-coordinate of the vertex of the parabola whose equation is y=3x^2+9x -3 -2/3 -1 1/2

A: Given : y= 3x2 +9x

Q: What are the coordinates of the turning point of the parabola whose equation is y=x² - 2r - 4? A)…

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Q: Write the equation of a parabola whose directrix is y = 10.75 and has a focus at (-3, 1.25).

A: Given :focus -3, 1.25

Q: -20 -10 -10- -10- -20- (0,-16) 10 20

A:

Q: Match the parabola to an equation in standard form. 2+ -4 -2 4 6. Ta-1) -4- (x-1)2 = 4(y+1) (x+1)2 =…

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Q: Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

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Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

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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: -4. -2 2. -6

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Q: Find the equation for the hyperbola whose graph is shown. y 10- F1 (-6, 0) F2 (6, 0) -10 -5 10 -5 5.

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Q: Find the equation for the hyperbola whose graph is shown. y 10- 5 F1 (-6, 0) F2 (6, 0) -10 -5 10 -5…

A: From, figure, foci are ±6,0   ⇒±ae,0=±6,0,'e' is eccentricity and…