Write the equation (f (x)) of the parabola satisfying the points a, (a + b) / 2 and b. where the Simpson's 1/3 rule is given by h| a +b f (b 3 a

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

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Q: 11. Determine the equation of a parabola that has a vertex (-5, -2), has a maximum, and is congruent…

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Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

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 for the parabola that has its vertex at the origin and has its focus at the point:…

A: If we have equation of a parabola y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,…

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

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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: Determine the value of p (where |p| corresponds to the distance from the vertex to the focus) of the…

A: Given: Parabola whose vertex is 6, 7 and the x-intercepts are 3, 0 and 9, 0. To determine: Value of…

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: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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

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Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

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 vertex of the parabola f(x) =-(z-9)² + 2 is

A: Given function of parabola is, f(x) = -(x-9)2+2

Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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Q: Sketch the parabola g(t) = -t2 + 4t - 3.

A: Sketch the parabola g(t) = -t2 + 4t - 3.

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

A: We have given a function,

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

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

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

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

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

A: Given thatthe vertex of the parabola at the origin and focus is(0, -1/2)

Q: of f(x) = ax2 + bx +c Determine the equation the parabola in the form

A: Given equation of parabola  fx=ax2+bx+c which passes through (0, -4), (1, 0) and (2, -4).

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

A: V-2,0

Q: Identify the equation of a parabola with a minimum value of 1. O f(x) = -(z - 2)² + 3 O f(z) = -2(x…

A: The general equation of a parabola with vertex at a point (x,y) is given by the equation;…

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: 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: 8. Find the function that will generate the points on a parabola that opens down, has a base of 4…

A: A parabola has base 4 and height 6

Q: Write the parabola below in one of the standard forms (x – h)² = 4p(y – k) and (y – k)² = 4p(x –-…

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Q: How do I solve this optimization problem?

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Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

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Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

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

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

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

A: The required solution is

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

A: Given y = 3x2 + 11x + 6

Q: 4. Find the attributes for the quadratic function. Graph the parabola on the given grid. y =, (x +…

A: Given: The quadratic equation y=19 x+32-3 To determine: Attributes for the given quadratic equation…

Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

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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: The variable point (t²,t+1) lies on a parabola. (i) Sketch the parabola for -2 <t<2.

A: See the answer below

Q: What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

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

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Q: On one set of coordinate axes, graph the family of parabolas f(x) = x2 + 2x + c for c = - 3, c = 0,…

A: Consider the parabola f(x)=x2+2x+c. The graphs of the family of parabolas for c=-3, c=0 and c=1…

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.