Answered: Find the equation of the parabola and…

Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c Given: Vertex: (2/3 , -5/6) Point: (-1/2 , 3/4)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.1: The Circle And The Parabola

Problem 6SC

See similar textbooks

Related questions

Q: As arch is in the form of parabola with its axis vertical. The arch is 10m high and 5 at the base.…

A: Topic:- application of geometry

Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

Q: Which point on the graph of the parabola y= 4x2 has the minimum distance between the graph and the…

A: To solve this question find a function in 'x' using the distance formula equate the derivative of…

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x X-axis…

Q: Hello. Can you please explain this problem to me?

A: Slope of the function is the derivative of the function.

Q: Which point on the graph of the parabola y = 5x² has the minimum distance between the graph and the…

Q: What is the equation of the line tangent to the parabola y2=12x at point (2,2)

A: y2=12x ⇒ 4a=12 a=3

Q: How would I find the maximum value of this parabola if the velocity is 23.4305?

A: Given equation - y = -16x20.43v2+1.15x+8Differentiating on both sides with respec to x - dydx =…

Q: What is the families of the curve of all Parabolas with symmetric axis parallel to the y-axis and…

A: Given: What is the families of the curve of all Parabolas with symmetric axis parallel to the y-axis…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: Use the derivative to find the vertex of parabola. y = -2x2 + 12x - 5

A: Given equation of parabola is y=-2x2+12x-5. To find the vertex using derivative. Solution: We know…

Q: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

Q: What is the maximum vertical distance between the line y =x +2and the parabola y =x2 for -1 ≤ x…

Q: Write an equation for the parabola whose vertex is at (3, 6 ) and which passes through point (4, 4…

A: Given Data: The vertex of the parabola is: (h, k)=(3, 6) The coordinate of a point on the parabola…

Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x. What…

A: Given that the rectangle has its base on x- axis and its upper two vertices on parabola let us take…

Q: A point moves on the parabola y2 = 8 in such a way that the rate of change of the ordinate is always…

A: The given parabolic curve is, y2 = 8x ...(1) It is given that the rate of change of ordinate is…

Q: Which point on the graph of the parabola y 4x has the minimum distance between the graph and the…

Q: Graph the transformed parabola using the table of values method with the mapping rule

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

Q: Find the equation of a parabola whose vertex is located at (2, −3) and whose focus is located at…

A: Given: vertex: 2,-3focus: 0,-3 To Find: Equation of a parabola. Concept: Horizontal…

Q: A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=2−x^2.…

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

A: Solution

Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

Q: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

Q: Draw the parabolic path of the bird based on the given data. Black Bird • Vertex: (14,25) • Maximum…

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: we have been given the parabola y=3x-4x2 to find the points put 3x-4x2=0⇒x(3-4x)=0⇒x=0, 34…

Q: Write the equation of the parabola in vertex form. vertex (2,1), point (1, -3) f(x) =|

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x – 3x2 and…

A: According to company rule, we can answer only first question and rest can be reposted.

Q: What is the equation of the quadratic function whose graph is a parabola which opens to the left,…

A: Consider the given: Vertex = 0,0Focus = −2,0End-points of the latus rectum = −2,4 and…

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x- 3x2 and…

A: Given the parabola : y=7x-3x2Let the line through the origin be : y=mx , where m is the slope of…

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x – 2x and…

Q: There is a line through the origin that divides the region bounded by the parabola y=7x-(2(x)^2) and…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 − x…

A: Given A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =…

Q: A parabola goes through points (1,0), (2,3), (-1,0). Find the equation of this function.

A: Consider the given points (1,0),(2,3) and (-1,0)Let the equation of parabola is

Q: What is the families of the curve of all Parabolas with axis parallel to the x-axis

A: The equation of a parabola with vertex at (h,k) latus rectum equal to 4a and axis parallel to X axis…

Q: I graphed a hyperbola centered at the origin that had y-intercepts but no x-ntercepts.Determine…

A: Types of hyperbolas: 1. Vertical hyperbola: Its graph contains two vertical parabolas which are…

Q: Determine the maximum area of a rectangle with one side on the -axis and the opposite corners…

A: The formula for the area of a rectangle is length multiplied by breadth. A=l·b, where l represents…

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

Q: Graph the given parabola by determining the vertices and using first derivative test y = 3x4- 8x +…

A: Given parabola: y=3x4-8x3+6x2 Let's find the y-intercept for…

Question

Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c

Given:

Vertex: (2/3 , -5/6)

Point: (-1/2 , 3/4)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Explain the process of finding the vertex of a parabola.
Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3, 7)
Find an equation for parabola with vertex (−1,3) and directrix x=−4.
Determine the equation of a parabola in standard form whose vertex is (1,−3) and passes through the origin. show complete solution
What is the equation of parabola in standard form whose focus is at (-4,0) and the directrix is at x=4?
A rectangle is inscribed in a parabola y²=8x with one of its vertical side passes through the point (6,0). Find its maximum area?
How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis; containing the point (6,2)?
What is the effect on the graph of a parabola if it's equation in standard form has increasing value of p?
What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?
Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c Given: vertex: (7, -4) point: (-3, 5)
What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and one end of its latus rectum is at ( -15/4, 3/2 )?
Which point on the graph of the parabola y= 4x2 has the minimum distance between the graph and the point (5,6)? Format should be (_,_). Round to the nearest thousandth.