If a parabola has a minimum at the point (-2, 4), the parabola has... O one positive x-intercept, one negative x-intercept O no x-intercepts O negative x-intercepts O positive x-intercepts

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: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

A: Answer

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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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: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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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: Determine the Cartesian co-ordinates of the local maximum of the graph which is described by the…

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

A: We have to find the equation of parabola where it has vertex at origin and directrix is given as:…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Draw the parabola y=7-x^2.

Q: parabola

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Q: Find the minimum value of the parabola using the following equation: f(x)=1/4(x+4)^2 +3 y = 4…

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Q: A ball is kicked and after 2 seconds it reaches a maximum height of 21 m. At 3 seconds it reaches a…

A: 1.We can solve the problem by simply substituting the values as we can see that they gave 2…

Q: A parabola with vertex (2, –3)and y-intercept (0, 5) can be expressed in vertex form as f(x) = (x –…

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Q: 5. Sketch the parabolas showing the intercept and the maximum/minimum points. a) y = 2x – 4x +7 b)…

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Topic = Application of Derivative

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x. What…

A: Given that the rectangle has its base on x- axis and its upper two vertices on parabola let us take…

Q: A parabola has its axis parallel to the x-axis, one end of its latus rectum at (-15/4,3/2) and…

A: Given Information:A parabola has axis parallel to the x-axis.Latus rectum at -154 , 32Vertex at (-1,…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

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Q: A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two…

A: Answer

Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=2−x^2.…

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Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

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

A: We have given a function,

Q: Find constants a and b so that the minimum for the parabola f(x) = x2 + ax + b Occurs at the point…

A: The given parabola is : f(x)=x2+ax+b We need to find the values of a and b so that the minimum for…

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: On a separate piece of paper, sketch the graph of the parabola y = x + 3. On the same graph, plot…

A: Given: Equation of parabola, y=x2+3

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

A: We have Vertex=(0,0)Directrix x=-15

Q: Sketch the parabola y = x² + 2x +1. Use arrows to indicate the maximum and minimum values of y over…

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

A: Here we find the equation of parabola.

Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

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Q: Find the equation of a parabola that has a vertex of (-2, -1) and contains the point (0, 3).…

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Q: Prove that if a parabola crosses the x-axis twice, the x-coordinate of the vertex of the parabola is…

A: Since, we have to prove that if parabola crosses the x-axis twice, the x-coordinate of the vertex of…

Q: What is the minimum vertical distance between the parabola y =x2 +1and y =x -x2 ?

A: Given:

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: If the parabola whose equation is x = ay2 + by + c has its vertex at (3,2) and a> 0, then it has…

A: The given statement is that" if a parabola whose equation is x=ay2+by+c has its vertex at 3,2 then…

Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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Q: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

Q: 4. What is the family of curves for all parabolas with axes parallel to the y-axis. Add File

A: We will find out the required solution.

Q: 1. Which of the following best describes the graph of y = x? – 4x + 2? a parabola with a vertex at…

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Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 − x…

A: Given A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =…

Q: 1. Give the (x, y) coordinates of the vertex of the parabola y= x - 2.x + 5, and indicate whether it…

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Q: Find the vertex, directrix and graph the parabola (x–2)² =-20(y–1) 个y 9- 8- 7- 9. -5 4- 3 X -10 -9…

A: The given equation of parabola is shifted from the standard 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: 19 Find the minimum value of the parabola y = x – 8x +

A: The minimum value of the parabola or any curve is obtained where y' = 0

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x2. What…

A: First draw the situation roughly

Q: If P(a, a²) is any point on the parabola y = x², except for the origin, let Q be the point where the…

A: To Determine: If P(a,a2)is any point on the parabola y=x2,except for the origin,let Q be the point…

Q: Give an example of a parabola that has a maximum at the point (-1, 2).

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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.