Write the equation of the parabola in standard form. Vertex: (-3, -4); The graph passes through the point (1, 4).

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: given equation: -x2=y2-25

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = -2x2 -…

A: The standard form of one of the parabola is y=ax-h2+k where the vertex of the parabola is…

Q: Write an equation of the parabola in the intercept form of 2 and -8 passing through (-6, -4)

A:

Q: -10 -5 10- 5- 0 --5- -10- 15 (0,-16) 5 10

A: We have given curve of parabola.

Q: Find the equation , in standard form, of the parabola with the specified features.   vertex (-1,…

A:

Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Given, The equation of the parabola y =-2x2 +12x-14 We have to write the equation in standard form ,…

Q: What is an equation of a parabola with the given vertex and focus? vertex: (-2, 5); focus: (- 2, 6)

A: Use standard form of parabola

Q: The equation of the parabola which opens up, vertex (-3, 4), and the length of latus rectum is 8…

A: Given that 8)  parabola open up with vertex (-3,4) and length of latus rectum is 8 9)  the parabola…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the given equation of the parabola  y=x2-2x+4

Q: Write the equation of the parabola in standard form. Vertex: (-3, -1); The graph passes through the…

A: Given vertex and  a point that passes through the parabola are -3,-1 and -2,-3. The general equation…

Q: Graph the parabola: the vertex, two points to the left of the vertex, and two points to the right of…

A:

Q: Write an equation for the parabola shown to the right. (3, 1) (2, 0)

A: The equation of parabola in vertex form: y=a(x−h)2+k where: h is the horizontal coordinate of the…

Q: Write an equation in intercept form of the parabola that passes through the point (3, 40) and has…

A:

Q: Which equation represents the axis of symmetry of the graph of the parabola below?

A: In this equation x=y2 The axis of symmetry is positive x - axis as you can see the graph is in right…

Q: -6 -5 2. 4

A:

Q: Determine the equation of the parabola graphed below. Enter your answer in vertex form. 4 3 1 -2 -1…

A: We can find the equation of parabola in vertex form as below

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: Given information: The vertex of the parabola is 2,-4 and the points is -2,44. Calculation: The…

Q: Write an equation of the parabola in vertex form. (8,3) 8 (4,-1) 4 An equation of the parabola is y…

A: Equation of parabola which open upwards or downward in the vertex form is y=a(x-h)2+k  here (h,k) is…

Q: 2. If you are given the standard form of the equation of a parabola with vertex at the origin,…

A:

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 5 10 (-3, –2) -5 -10f Step…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: we have to write an equation in standard form of the parabola that has the same shape as the graph…

Q: Write the equation of the parabola in standard form, whose vertex is (-3, -4) and the graph passes…

A: Given: vertex-3,-4 and passes through point1,4 we know that equation of parabola in standard form…

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given that, y2=143-x2

Q: 10- (3,2) -10 10 (6,-7) -10

A: The vertex of the given parabola is:  (h, k) = (3, 2)

Q: Write the equation of the parabola with vertex (4, -2) and focus (4,4)

A: To find the equation of the parabola

Q: Write the equation of the parabola that has "a" value 2 and roots -1 and 4.

A:

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: Graph the parabola. y=-3(r+5)-3

A: The given equation of the parabola is  y=-3(x+5)2-3

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A:

Q: Write an equation of the parabola that passes through the points in the table. -2 24 6 3 9 31 An…

A: -1,24     Sol:-        Solving the equations, Basic equ. of parabola,               y=ax2+bx+c  →…

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

A:

Q: Write the equation of the parabola in standard form sati 1. Vertex (1, – 9); Focus (- 3, - 9)

A:

Q: Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and the…

A: Given Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and…

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 - 6x - 5

A: Given:

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 4x…

A: Solution is given below:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Solution:- we have to write an equation in standard form of the parabola that has the same shape as…

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

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

A:

Q: 4- 3- 2- 1- -6 -5 4 -3 -2 -1 -1 2- -3 -4+ 2.

A: The graph of the parabola is given by To evaluate : The vertex of the parabola.

Q: -20 -10 -10- -10- -20- (0,-16) 10 20

A:

Q: Determine the vertex of the parabola. y = -2(x - 5)2 + 2

A:

Q: Write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and passes…

A: To write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and…

Q: Using the graph, determine the coordinates of the vertex of the parabola.

A:

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

A:

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3, 5)

A: Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It…

Q: What is an equation of a parabola with the giyen vertex and focus? vertex: (-2, 5); focus: (-2, 6)

A: Use the value of vertex and focus for finding the equation of 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.