Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

crapthach24 2021-12-07

A quadratic equation has solutions of $x = 9$ and $x = - 2$ . What is the quadratic equation?
a) $x^{2} - 7 x - 18 = 0$
b) $x^{2} + 7 x - 18 = 0$
c) $x^{2} - 2 x + 9 = 0$
d) $x^{2} + 9 x - 2 = 0$

Judith McQueen 2021-12-07

A family of cubic functions have zeros of -2 and $4 \pm \sqrt{7}$ .
4) Write the equation ofthe family of cubic Functions in factored form. The equation may contain a ‘non-factorable quadratic but should contain no radicals. Show your work,
b) Write the equation for the member which goes through the point (2, -72). Show vour work,
c) Describe the end behaviour for the member in b).

Katherine Walls 2021-12-07

State the domain and range of te functin whose graph appears below:

Grady Turner 2021-12-07

Let $X_{1}, \dots, X_{n} \sim$ Uniform(a,b) where a and b are unknown paramaters and a<b.
(a) Find the method of moments estimators for a and b.
(b) Find the MLE $\hat{a}$ and $\hat{b}$ .

druczekq4 2021-12-07

1. Given $f (x) = - 2 {(x - 1)}^{2} + 8$
a. Determine whether the graph of the parabola opens upward or downward
b.Identify the vertex
c.Determine the x-intercept(s)
d.Determine the y-intercept
e.Sketch the function
f.Determine the axis of symmetry
g.Determine the maximum or minimum value of f
h.Write the domain and range in interval notation.
2. From the graph of the quadratic function $f (x) = {(x + 2)}^{2} - 9$ , determine the equation of the symmetry
3. Determine the x-intercept(s) of the quadratic function $f (x) = x^{2} + 10 x + 26$

Boduszewox6 2021-12-07

Graph attached with question
answer: Options are
The graph is a dilation of the parent function
The graph represents a quadratic function
The graph shows a transformation of the parent function $f (x} = x^{3}$
This image is it's parent function reflected over $Y = X$
The equation for the given graph would be written $Y = x^{2} + 2 x - 8$
Compare the given to its parent function.Select all statements that correctly represent the graph shown.

akutagawatj 2021-12-07

Can a quadratic function have a range of $(- \infty, \infty)$ ? Justify your answer.

grasaladae5 2021-12-06

Do the following:
Write the quadratic function in standard form that has two zeros where $x = - 2$ and $x = - 5$ .
Write the quadratic function in standard form that has two zero where $x = - 2$ and $x = 0$ .
Write the quadratic function in standard form that has one zero where $x = - 2$

jippie771h 2021-12-06

Factor $2 x^{2} - 8 x - 10$ completely.

Weltideepq 2021-12-06

Given the quadratic function
$f (x) = 2 x^{2} - 10 x + 6$
a. Find the minimum or maximum value of f.
b. Find the equation of the axis of symmetry.

Carolyn Moore 2021-12-06

Write the equation of a quadratic function with roots as -6 and -4, and a vertex at $(0, - 24)$ . Write the equation in standard form.
a) $y = - x^{2} - 10 x - 24$
b) $y = 24 x^{2} + 240 x + 96$
c) $y = x^{2} + 10 x + 24$
d) $y = - 24 x^{2} - 240 x - 96$
e) There is no correct answer given.

snijelihd 2021-12-06

Solve equations with quadratic function (while showing work)
a) $3 x^{2} + x - 5 = 0$
b) $x^{2} - 5 x - 8 = 0$
c) $b^{2} + 3 b - 6 = 0$
d) $2 n^{2} - 3 n - 8 = 0$

Michelle Arroyo 2021-12-06

Consider the following of a guadratic function.
Write the eguation for the guadratic function in standart form.

miyoko23q3 2021-12-06

Let the following be a table of values
$\begin{array}{cc} X & 1 & 0 & - 3 & 0 & - 5 & - 3 & - 5 \\ Y & 2 & 0 & - 0.7 & 4 & - 1 & 4.7 & 5 \end{array}$
It is correct to state that:
a) The table presents data a quadratic relationship but not a function
b) The table presents data from a quadratic function
c) The table presents data from a quadratic function and relation
d) The table does not present data for a relation or a quadratic function

Agaiepsh 2021-12-06

The length of a plywood is 0.9m more than its

rastafarral6 2021-12-06

Write a quadratic equation having the given solutions.
$- 6, - 9$
Write the quadratic equation in standard form,
$a x^{2} + b x + c = 0$
where a is positive, and a, b, and c are integers with no common factor.
The quadratic equation is nothing.

Painevg 2021-12-06

You are given a quadratic equation of the form
$(x - p) (x - q) = 0$
Show that the axis of symmetry of the related quadratic function is equidistant from the roots p and q.

namenerk 2021-12-06

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.

Grady Turner 2021-12-06

The following function is given; $f (x) = e^{x}$ .In $(x + 1)$ . Use Maclaurin series approach to transform this equation into a quadratic equation (eg. determining the terms of the series for $n = 0, 1, 2$ is enough).
Then, calculate f(0.2) by both using the function itself and its quadratic version. Compare.

3kofbe 2021-12-06

Revenue and Cost The total monthly revenue function for Easy-Ride golf carts is given by $R = 26, 600 x$ dollars, and the total monthly cost function for the carts is
$C = 200, 000 + 4600 x + 2 x^{2}$
dollars, where x is the number of golf carts that are produced and sold.
a) Which function is quadratic, and which is linear?
b) Form the profit function for the golf carts from these two functions.
c) Is the profit function a linear function, a quadratic function, or neither of these?

Finding a reliable quadratic function solver is quite popular today as students look for answers to equations that they encounter during those Algebra tasks. Still, quadratic function examples with answers are not so common, which is why we have collected related questions and answers for you to help you find various solutions and learn. Take your time to explore quadratic function questions. If you manage to understand at least one quadratic function solution, you will understand all the rest because it is exactly how things work. Even the most complex quadratic function equation makes sense when you have an example.

Algebra I

Quadratic Function Real Life Examples and Applications