a. Stan is making an arch at the top of his barn doors. The arch has a shape that can be modelled by the equation of a parabola. If the left edge of the door is the origin and the doorway is 6 m wide, what is the equation of the parabola if the height of the arch, 2 m from the edge of the doorway, is 5 m? Hint: Begin by drawing a sketch. b. Algebraically, determine the point(s) of intersection of the functions: f(x) = -3x2 +6x + 4 and g(x) = 3x - 2 the questions come together!

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: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: Convert the following equation to standard form by completing the square. Then find the vertex,…

A: Given y2-2y+12x-35=0

Q: 5. Graph the parabola y -2x² + 12x 11. Indicate the vertex and the intercepts. ==

A: We can solve it by general form of parabola as follows

Q: Determine whether the equation is that of a circle, parabola, ellipse, hyperbola, or none of these.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: B. A parabola has its vertex at the origin, its axis is along the x-axis, and passes through the…

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Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: Make a real life situation word problem about circle, parabola, hyperbola and ellipse.

A: Circle: on a dart board find the ratio of area of inner circle to area of outer circle if the ratio…

Q: If x has a value of -4, determine if the series converges (absolutely or conditionally) or…

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Q: -6 -2₂ 2- --2-

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Q: Find an interval for a, the leading coefficient of the equation of a parabola, such that the…

A: To find an interval for the value of a for which the distance along the parabola within the unit…

Q: 2. For the parabola f(x) = 2x² + 10x + 12 a. Find the vertex. b. Write the parabola in vertex form.…

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Q: 3. From the standard following two (2) pa a. Y= -4(x-9) ² Explanation b. Y= 2(x+6) + Explanation c.…

A: Introduction: The process of modifying an existing graph, or graphed equation, to produce a…

Q: If New Hampshire's population was 1.4 million in 2018 and there were 1.3 million motor vehicle…

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Q: 3+ 2 Focus: (0, 2) 1+ -3 -2 -1 o -1+ -2- Directrix: y= -2 -3+

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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.