Find the quadratic function y = a(x-h) whose graph passes through the given points. (9,- 12) and (3,0) y3D (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Q: Find the quadratic function for which: Vertex is ( - 1, 2); contains the point (1, 6)

A: Consider the given point 1,6 and vertex -1,2

Q: The height, h of an object projected upward at velocity vo and an initial height ho is given as a…

A:

Q: Write the equation of a quadratic function in standard form (y ax + bx + c) that passes through the…

A: The equation of the parabola passes through points and vertex will be,  f(x)=a(x-h)2+k , where…

Q: Find the quadratic function y = ax² + bx + c whose graph passes through the given points. (1,2), (–…

A: Here given that y=ax2+bx+c...(1) which passes through (1,2), (-1,-8), (-3,6) To find a,b, and c for…

Q: Write in vertex form the equation of a quadratic function with a vertex at (-2, 1) and the point…

A: Algebra  Quadratic equations

Q: Find a, b, and c, so that the graph of the quadratic equation y = ax + bx +c passes through (-2,14).…

A:

Q: Write an equation for the quadratic graphed below Zeros at x = 3; y-intercept: (0,12)

A: Topic:- function

Q: Find the quadratic function y= ax2 + bx + c whose graph passes through the given point…

A: I have provided solution in step2.

Q: Determine the equation of the quadratic function with vertex (3, 5) and passing through the point (–…

A:

Q: Write the equation of a quadratic function with roots at 5 and 1, and a vertex at (3, -4). Write the…

A:

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A: Given data: h,k=2,0 x,y=4,4 Solution: If (h,k) is vertex and (x,y) is point on a curve or graph then…

Q: Approximate the solution(s) to x3-2x+2=0 using a graphing utility

A: x3-2x+2=0

Q: Write the equation of a quadratic function with the given zeros. 0, 4, and -4 x2 +

A:

Q: Find a formula for the quadratic function with the following properties: zeros at -1 and 6; passes…

A:

Q: Find the equation of the quadratic function y = ax2 + bx + c whose graph is shown. Select three…

A: Consider the graph: The following coordinates on the graph are:3,0,4,1 and 5,0Point 3,0: a32+b3+c=0…

Q: Use the vertex (2,8) and a point on the graph (0,4) to find the equation of the quadratic function…

A: Given: the  vertex is 2,8 and a point 0,4. To find : the equation of quadratic function fx.…

Q: find two quadratic function, one that opens upward and another that opens inwards, whos graphs both…

A: our objective is to find the quadratic function

Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-1,-5),…

A: I am sorry to say that According to our guideline we can answer only one question at a time. Other…

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are…

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: 1.у 3D2x? + 3х - 4 - y = Зх- 4 2. у 3 5x?- 7х + 2 3. у %3 3x2-4х +5

A: Topic = Quadratic equations As per guidelines , At a time only three sub-parts of a question can be…

Q: Find the quadratic equation whose roots are (3-j5) and (2 + j4).

A:

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: equation of quadratic function in factored form that has roots a and b is : y=C(x-a)(x-b) here C is…

Q: What is the sum of the roots of the quadratic function y=x^2-11x+28?

A:

Q: nd the equation of the function with vertex (2, -5) that passes through 7). Place your answer in…

A:

Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

A:

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A:

Q: Find the quadratic function using the given roots 1. (-3 2 ,0) and (1,0) 2. (2 3 ,0) and (-3,0)

A: We can find the quadratic functions as below.

Q: Write an equation of the quadratic function with the vertex at the point (-1, 4) and such that f (0)…

A:

Q: Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point…

A: As given by the question, There are given that the vertex is 3, 0 and the point is 4, -1. Then, To…

Q: Find expresSsions for the quadratic functions whose graph are shown. YA y A (-2, 2), (0, 1) (4, 2)

A: The graph of the first function has a open parabola open upward with (3, 0) as vertex and (4, 2) is…

Q: What is the equation of a quadratic function y = f(x) with two irrational zeros,-h and h where h is…

A: Given,         The equation of a quadratic function y=fx with two irrational zeros, -h          and…

Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: Write the equation for a quadratic function f(x) with roots at r = – 3 and r = – 8 that also passes…

A:

Q: Find a formula for the quadratic function whose graph has a y-intercept at y=7 and x-intercepts at…

A:

Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

A:

Q: Consider the quadratic function f(x) = –2x2 + 4x + 2. Find the y- intercept and the equation of the…

A:

Q: Determine, in Factored and Standard form, the equation for the quadratic function that has…

A: The quadratic function is a second-degree polynomia in which the highest power of the variable term…

Q: Find a quadratic function with the roots 1 and 3

A:

Q: find the Quadratic function y=ax2+bx+c whose points pass through the points (-1,6), (1,4), (2,9)

A: How to solve: you need to find the value of three variables, so you will three equations for that.…

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

A:

Q: Approximate the solution(s) to x3 - 2x + 2 = 0 using a graphing utility.

A:

Q: A duck dives under water and its path is described by the quadratic function y=2x-4x, where y…

A: y=2x2-4x The position of duck to dive down 2 meters y=-2 -2=2x2-4x 2x2-4x+2=0 2(x2-2x+1)=0…

Q: Use the vertex  (h, k)  and a point on the graph  (x, y)  to find the general form of the equation…

A:

Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A: The quadratic function one have to use here is y=a(x-h)2+k

Q: Which is the vertex form of the equation for the quadratic function y = 2x2 - 28x + 101? Oy = 2(x-…

A: The quadratic function y=2x2-28x+101, we have to find the vertex form of the equation for the given…

Q: Find a formula for the quadratic function whose graph has vertex (1,−3) and y-intercept −7   f(x)=

A: We have given the vertex (1,−3) and y-intercept −7.