A f The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. The parabola has r-intercepts -2 and 6, and y-intercept 6. Its turning point is C. The circle has its center at the origin and it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight line cut the r-axis. The straight line has y-intercept 1.

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: 2. Give the equation in the form ax + by +c = 0 fo the line & passing through C(-4, 6) with slope 1…

A: From the given data we have to find the following value.

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the…

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Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Graph the parabola. y-(r-3)+1 Piot five points on the parabola: the vertex, two points to the left…

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Q: A parabola with its axis of symmetry parallel to the x-axis has the vertex at the point (-3,2). If…

A: The equation of parabola is y=a(x+h)2+k  where (h,k) are the vertex of the parabola.

Q: A parabola has a vertex at (4,-11) and runs through the point (8,-123). Determine the equation for…

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Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

A:

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: supply the direction of the opening, vertex, focus, ends of latus rectum, and graph 2y 2y^2 + x + 8y…

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Q: Find an equation of the parabola with vertex (-4,-5) and focus (1,-5)

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Q: Write the standard equation of each parabola. Find the focus and make a graph. (i) passes through…

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Q: The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A parabola has a vertex of (-3, 7) and also goes through the point (-6, -11). State the equation in…

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

A: Given the equation .objective is to graph the equation using plotting five points on the parabola.

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.