Write the parabola below in one of the standard forms (x – h)2 = 4p(y – k) and (y – k)² = 4p(x –- h). x2 + 8x – 60y+ 196 = 0

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

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

A: Consider the given equation

Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

A:

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: What is the vertex of the parabola (y - 1)2 = 16x?

A:

Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

A:

Q: Write the equation in vertex form of a parabola with zeros of 5 and 3 and goes through the point…

A: Here we have to find the equation of parabola

Q: Which parabola has a vertex at the (0, 3) and opens to the right? Oy=x²+3 y = -(x + 3)² Ox=y²-3 O x…

A:

Q: Write the equation of the parabola that opens up, has a vertex V(3,-3), and is congruent to y = ².…

A: Here we have to choose the correct option.

Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

A:

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: a. Consider the parabola f(x) = x² -4x + 3 i) Write the equation in vertex form. ii) Find the vertex…

A:

Q: Write the equation of the parabola y = x x² - 6x +14 in vertex form y - k = (x − h)² -

A: y=x2-6x+14we  know  (x-3)2=x2+9-6x

Q: 3x2 + 3y2-9x+12y+4=0 identify the standard form, radius and center;

A: here we have to change the equation into standard form and find raadius and center of circle.

Q: Consider the parabola y = -3x2+42x-150.  What is the vertex (-7,-3) (-7,3) (7,-3) (7,3)

A:

Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…

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.