Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

Q: Find the vertex and all of the intercepts for the following parabola: f(x) = x2 +4x+10

A: Given: The equation of parabola f(x) = x2 +4x+10.

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function.…

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Here given an equation of the parabola

Q: Find the x-intercepts and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If there…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

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Q: Determine the axis of symmetry of the graph of the following parabola. f(x) = 2x² + 16x + 33

A: f(x)=2x2+16x+33

Q: The equation of the parabola that has a vertical axis of symmetry, touches the x-axis and has its…

A: Given, The parabola has vertical axis of symmetry touches the x axis and has its focus at 1, 7 We…

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 the standard equation of any parabola that has vertex V.

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Find an equation for the parabola that has its vertex at (1, 2) and its focus at (4, 2).

A: The vertex of the parabola is the point of intersection parabola with its axis. The general form of…

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: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

Q: Draw the graph of a parabola that matches the given description. f(x)=ax2+bx+c, a>0;b2-4ac>0

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Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Graph the parabola: f(x)=0.5x^2-2. Show all work.

A: We have given a function,

Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

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

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

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Q: The parabola y =- x² + x +1 opens

A: Let y = ax2+bx+cIf a>0 then parabola open upwardIf a< 0 then parabola opens downward.

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: The vertex of the parabola f(x) = x2 + 14x + 4 is о (-21, -45) о (-7, -45) о (-14, -21) о (-14, —45)…

A: The given parabolic equation is   f(x) = x2 + 14x + 4 the given equation of parabola is in the…

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: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

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Q: Find the vertex and the x-intercepts (If any) of the parabola.  (If an answer does not exist, enter…

A: The x intercept can be determine by outing y=0

Q: Find the standard equation of any parabola that has vertex V.

A: V-2,0

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -2), axis parallel…

A: GivenV(3,-2)y-intercept -1To  find  equation of parabola.

Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

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Q: Is and directrix of the parabola: (y-7)²-6(x+9)

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Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

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Q: Identify the vertex of the parabola F(x) = (x - 9)2 - 7

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: If the vertex of the parabola y = −2x^2 + k + 3 has a y-coordinate of 11, determine all possible…

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Q: Determine the vertex of each parabola. 1. f(x) = x² + 2x – 15 - axis of symmetry: x = -1

A: We have to find vertex

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: Find the x intercepts of the parabola y=3x^2+10x+8

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Q: The vertex of the parabola of f(x)= x²+8x is

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Q: Find the standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: Find the coordinates of the vertex and the equation of the line of symmetry for each of the…

A: We have to find the coordinates of the vertex and the equation of the line of symmetry for each of…

Q: Consider the parabola given by the equation: f(x) = - 4x – 12x - 7 |

A: Given: fx=-4x2-12x-7

Q: Find the y-intercept of the parabola below. y=2x^{2}-3x+7y=2x2−3x+7

A: Given query is to find the y intercept of the perabola.

Q: The vertex of the parabola f(x) = a+ 14z + 10 is %3D о (-14, -63) о (-21, -39) о (-14, -39) о (-7,…

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Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: Find an equation for the parabola that has its vertex at the origin and has a directric at x=1/29

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

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

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Q: Find the X-intercept(s) and the coordinates of the vertex for the parabola y=-x² - 4x - 4. If there…

A: topic- parabolas

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.