For the parabola below, identify the vertex, axis of symmetry and state it it opens upwards or downwards The vertex: The axis:

Q: Using the graph of the parabola shown to the right, fill in the blank so that the resulting…

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Q: Write an equation of a parabola with vertex at origin, focus on the positive x – axis, 2 units away…

A: If the equation of parabola y2=4px then the axis of the parabola is horizontal and vertex is (0, 0)…

Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: A parabola can have symmetry about the y-axis. For example:

Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: A satellite dish is in the shape of a parabola. The parabola can be modeled using the equation…

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Q: Find the equation of the parabola with the following properties. Express your answer in standard…

A: Given query is to find the equation of parabola.

Q: please solve it and show yor work

A: In the graph, the vertex is at the lowest point where it is going from decreasing to increasing.…

Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

A: The vertex of the parabola is the lowest point on the parabola if it opens upwards and the parabola…

Q: Graph the parabolas. Label the vertex, axis, and intercepts in each case.y = 1/2 x2 + x + 4

A: Given: y=12x2+x+4  ……1

Q: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

A: Convert the equation x2 + 6x - 4y + 1 = 0 to standard form by completing the square on x or y. Then…

Q: Convert the equation y2 - 2y + 12x - 35 = 0 to standard form by completing the square on x or y.…

A: Consider the provided parabola equation, y2-2y+12x-35=0 Find the vertex, focus, and directrix of the…

Q: PARABOLAS WITH VERTEX AND FOCUS ON THE Y-AXIS

A: 2. Equation of the parabola having vertex and focus on the Y-axis is y-k=a(x-0)2 ⇒y=ax2+k, where a…

Q: Graph the parabola. y=x*-4x+2 Plot five points on the parabola: the vertex, two points to the left…

A: Explanation of the answer is as follows

Q: Convert the equation x2 + 8x - 4y + 8 = 0 to standard form by completing the square on x or y. Then…

A: We have the given equation as x2+8x-4y+8=0 Since y is not squared in this equation, we know that the…

Q: The standard parabola with directrix y = −4 is translated so that its vertex is located at (4, 10).…

A: Given: The standard parabola with directrix y = −4 To find: Equation, directrix, and focus of the…

Q: Graph the parabola. y= - 3x²+ + 18x– 20 Plot five points on the parabola: the vertex, two points to…

A: To graph the parabola,y=-3x2+18x-20To plot five points on the parabola: the vertex, two points to…

Q: Find the vertex, focus and directrix of the parabola given by (x - 3)2 = 8(y + 1).Then graph the…

A: Vertex form of a parabola y=a(x-h)2+k Where vertex is (h, k) focus os (h, k+p) where p=14a And…

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

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Q: O The slingshot reaches a greater height at 162 feet, which is the vertex of the parabola. The…

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Q: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: find the standard form of the equahon of the parabola with the given characteristics vertex :(-2,4):…

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Q: Without​ graphing, determine the vertex of the parabola and state whether the parabola opens upward…

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Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

A: From the given graph of parabola it is seen that the axis is parallel to y-axis along positive…

Q: At the skateboard park, the hot new attraction is the U- Dip, a cement structure embedded into the…

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Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the…

A: answer is in next step

Q: Use the yupn of the parabola to fill in the table. 10 (a) Does the parabola open upward or downward?…

A: The vertex form of a quadratic equation is y=a(x-h)2+k. Here, h, k is the vertex. The graph of the…

Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a>0 and open downward…

Q: Given the general form of a parabola x2+6x-24y+2=0, what is the distance the focus is from the…

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Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

A: This question belongs to the topic parabola and can be easily solved graphically

Q: The equation of the family of parabolas with vertex and focus on the x-axis where h and k are…

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Q: Use the graph of the parabola to fill in the table. 10 (a) Does the parabola open upward or…

A: Given the graph of the parabola is

Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

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Q: Find the focus, directrix, and axis of (y - 2)2 = -8(x + 3). Then graph the parabola to scale.

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Q: Find the equation of the parabola with the following properties. Express your answer in standard for…

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Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

Q: Consider the parabola given by the equation: y = lz + 12x + 20 Find the following for this parabola:…

A: Given : The equation of the parabola is : y=x2+12x+20              .......................(1) We…

Q: Use the equation x2 +18x – 2y -85 = 0 to determine the following for a parabola: a. equation in…

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Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

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Q: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

A: Here, the vertex of the parabola is the minimum point of the graph.

Q: write the equation of a parabola that opens upwards and has the vertex (1, 1) that passes through…

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Q: Use the 1 of the parabola to fill in the table. 10- (a) Does the parabola open upward or downward?…

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Q: Given the graph of the parabola. Find the equation of the parabola by using three points (4,0),…

A: The given parabola is a vertical Parabola. General form of  equation of a vertical Parabola is ,…

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the equation, y=x2+4x+1

Q: The parabola shown to the right has zeros at 0 and 80. (a) Report the equation of the axis of…

A: We have been given the parabola in the graph.

Q: For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards…

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Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below

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.