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: (X+2)^2=6(Y-1) Graph the equation. Plot the vertex and the endpoints of the latus rectum.

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Q: If the vertex of  a parabola is the point (-3,0) and the directrix is the line x+5=0,  then find its…

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Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

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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: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: The zeros of a parabola are 6 and -5. If (-1,3) is a point on the graph which equation can be solved…

A: Given that the zeroes of the parabola are 6 and -5. and parabola passage through the point -1,3 We…

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: State the x-intercepts of the parabola. There are two answers. y = (2 +3) (a-8)

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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.