The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball.The vertex of the graph is (1, 20) and the path of the ball includes the point (0,4). What is an expression that defines this function? Write the quadratic function in vertex form.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: To write the standard form of the quadratic function whose graph is parabola.

Q: What is a quadratic function? What shape does its graph have?

A: A quadratic function is defined as the function which is having a variable with degree 2. The…

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A:

Q: Sketch the graph of the quadratic function f(x)=-2x2+6x-3. On the graph, show the values of x and y…

A: The given function is

Q: The profit for a product can be described by the function p (x)=202x– 5000–x² dolars maximize…

A: Follow the procedure given below.

Q: The number of secure Internet servers in the United States from 2009 to 2013 can be modeled by a…

A: Given query is to find the function for the Model.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: 2. Previously you solved a problem in which the profits of a company in millions of dollars were…

A:

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: Given:- f(x)= x2-10x+74 To find:- vertex form and location of vertex with graph

Q: Find the formulas for the quadratic function that has x-intercepts (-4,0) & (2,0) y-intercepts (0,4)…

A:

Q: Can a quadratic function have a range of (-00, 00)? Justify your answer.

A: No. Explanation: Since a quadratic function is a parabola, it must contain either a minimum point or…

Q: Determine whether the function represented by the equation Is a quadratic. y-6x +x2=0 The function…

A:

Q: A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height…

A: Given data: The initial value of x is a=0. The final value of x is b=230. The domain of the function…

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Use the graph below to write the quadratic function in vertex form. (0, 4) (6, 4) 2(1-1) (3, -5) 21

A:

Q: Rewrite the quadratic function in vertex form and give the vertex.   f(x)=3x^2−9x   I wrote for…

A: We have to rewrite the given quadratic equation in the vertex form…

Q: 2. Previously you solved a problem in which the profits of a company in millions of dollars were…

A: Given that, the profit function is fx=-x2+10x-10. It is known that, the vertex of the quadratic…

Q: farmer has 300 feet of fencing to construct a rectangular pen up against the straight side of a…

A:

Q: What is an x-intercept of the graph of a quadratic function? How many possible x-intercepts does the…

A: In the question we have to explain the given statements.

Q: Write a quadratic function to model the graph to the right. .... f(x) = 14.

A:

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A:

Q: The graph of a quadratic function h is shown on the grid. What is th intercept of the graph of h?

A: Consider the given graph.

Q: Graph the quadratic function identifying and labeling the coordinates of the intercepts, vertex and…

A: Explanation: Given that,                                      Find the intercepts: To find the…

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x information to find the vertex…

A: We can find the vertex of the given quadratic equation as below.

Q: Use the table of values that represent points on the graph of a quadratic function. By determining…

A:

Q: How to write a quadratic function who have zeros of -5 and -3

A: Please rate and feel free to ask any query about any part of the question .

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: Given,  f(x)=x^2-12x+85

Q: One edge of a painting is 6in. longer than the other edge.The picture has a 2-inch-wide frame.Write…

A:

Q: Find the equation of quadratic function that fits the table.

A: (a) Complete the table by finding the Δ and Δ2 value, which is given below…

Q: Use the table of values that represent points on the graph of a quadratic function. By determining…

A:

Q: Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the…

A:

Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

A:

Q: Graph the quadratic function using the vertex and x-intercepts. Show your work and explain the steps…

A:

Q: Write the quadratic function in standard (vertex) form.   f(x)=x2−4x−5   f(x)=         Give…

A: f(x) = x2-4x-5        = x2-4x+4-5-4        =x2+2(-2)(x)+(-2)2-9 f(x) =(x-2)2-9 quadratic function in…

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: The standard form of quadratic equation whose graph is a parabola is- y=ax-h2+k Vertex = (2,-4)…

Q: Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the…

A:

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A:

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. The quadratic…

A: Given , The length of a rectangle is 7 inches less than twice the width, w, of the rectangle The…

Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

A:

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: topic- quadratic equations vertex: The point at which a quadratic changes direction, corresponding…

Q: Use the graph below to write the quadratic function in vertex form. Be sure to use the equation…

A:

Q: Use the zeros and the labeled point to write the quadratic function represented by the graph.

A: The general form is of the form y=a(x-b)(x-c) where a is constant and b,c are roots(x-intercept of…

Q: A ball is dropped from the top of a 256-foot-highbuilding. The ball is 192 feet above ground after2…

A: A ball is dropped from the top of a 256-foot-high building. The ball is 192 feet above ground after2…

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: We have to solve given Problem: Concept: An equation of the form (X-a)2  = (y-b)  Represent a…

Q: In a quadratic function, the axis of symmetry and the vertex share the same x-value. O Always…

A:

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A:

Q: Describe the graph of the quadratic function; f(x)= −4 (x − 8)2 + 4

A:

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.