(c) Write an equation in standard form of the parabola which has its vertex at (5, 2).[Hint: equation of the parabola:f(x) = (z - h)2 + k]

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Sketch the parabola f (x) = 2x2 - 4x.

A: Given: f(x) = 2x2-4x To sketch: The given parabola.

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: Which of the following equations represents the parabola

A:

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: Sketch the parabola g(t) = -t2 + 4t - 3.

A: Sketch the parabola g(t) = -t2 + 4t - 3.

Q: When constructing the standard equation of a parabola, how do you know when the p value is negative?

A: When constructing the standard equation of a parabola, how do you know when the p value is negative?

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

A:

Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: Find the standard form of the parabola that opens to the right ,has a vertex of (6,2).

A:

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

A:

Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

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

A:

Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

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.