Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

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: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

A:

Q: The equation of the Family of Parabolas with vertex (h,-3) and it opens to the left is

A: We use the equation of the parabola when open the left and vertex are (h,k) is (y-k)2=4a(x-h)

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

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

A:

Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

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 the equation of the parabola that has the same shape as f(x) = - 6x? but with vertex ( - 5,3)…

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

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: Without graphing, determine the x- and y-intercepts of the parabola. у-4(х-2)? - 36

A:

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

A:

Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…

A:

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Ay 3-

A:

Q: Find the equation of the parabola given 3 points using quadratic formula. (-3,38) (25,51) (-1,65)

A:

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

A:

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of 231, which…

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: t is the equation of this parabola?

A: Given that, A  parabola has a vertex of (3,-2) and a y-intercept of 7.

Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

A:

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

A:

Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

A:

Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

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

A:

Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

A:

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: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

A:

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

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

A:

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

A:

Q: Find the equation for the parabola that passes through the point (-2, -4), with vertex at (3,1) and…

A: Given

Q: What is the equation of the parabola below? y (2.4) (3,1) -5

A:

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: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

A:

Q: Find the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Write an equation of the parabola in intercept form. 14. x-intercepts of 3 and -4; passes through…

A: equation of the parabola in intercept form is given below- y=a*(x-p)*(x-q) where p,q are intercepted…

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.