Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

Brittney Lord 2021-11-09

Explain the connections between quadratic functions and quadratic equations that contains the following:
a) A representative function for a quadratic equation with solutions of 2 and 6.
b) A table of ordered pairs of a representative function for a quadratic equation with solutions of 2 and 6, with the zeros of the function included and circled.

usagirl007A 2021-11-07

Use the quadratic formula to solve for x.
$2 x^{2} - 6 x - 1 = 0$
(If there is more than one solution, separate them with commas.)

glasskerfu 2021-11-06

Use the vertex (1, 6) and a point on the graph (6, -19) to find the equation of quadratic function, $f (x)$
$F x =$

SchachtN 2021-11-06

Solve $3 y^{2} - 72 = 0$ , where y is a real number.

ankarskogC 2021-11-06

Find the Equation of a quadratic function whose graph is parabola passing through the point.
$(- 2, - 9)$ , $(2, 7)$ and $(4, - 9)$

zi2lalZ 2021-11-06

Find the equation of the quadratic function whose graph is a parabola containing the points $(- 2, - 4)$ , $(3, 1)$ and $(2, 4)$ .

sibuzwaW 2021-11-06

a) Find the equation of the line that passes through the given points. (Use x as your variable.)
$(0, 7), (8, 0)$
$y = ?$
b) Find the vertex of the graph of the equation.
$y = x^{2} - 9$
$(x, y) = ()$
c) Find the minimum or maximum value of the quadratic function.
$f (x) = x^{2} - 8 x + 8$
$() ?$
d) Find the minimum or maximum value of the quadratic function.
$f (x) = - 2 x^{2} + 8 x - 5$
$() ?$

glasskerfu 2021-11-05

Find the equation of the quadratic function that passes through the points $(- 3, 0)$ , $(2, 0)$ , and $(0, - 30)$ . Write your answer in standard form.

pedzenekO 2021-11-05

Use the quadratic formula to solve for x.
$7 x^{2} + 3 x - 2 = 0$
(If there is more than one solution, separate them with commas.)

vazelinahS 2021-11-05

What is the equation of a quadratic function whose graph passes through (2, 0), (5, 0), and (3, -8)? Write your equation in standard form.

snowlovelydayM 2021-11-05

Solwe $w^{2} + 5 = 25$ , where w is a real number.
Round your answer to the nearest hundredth.

Aneeka Hunt 2021-11-04

Write the equation of a quadratic function with $a = - 3$ and a vertex of $(- 4, 5)$

Jerold 2021-11-03

Find the equation of a quadratic function whose graph is a parabola passing through the points $(- 2, - 9)$ , $(2, 7)$ , and $(4, - 9)$ .

generals336 2021-11-03

Write the equation of the quadratic function whose graph is a parabola containing the points $(10, 72)$ , $(0, - 3)$ , and $(- 5, 34.5)$ .

Suman Cole 2021-11-03

i. Given the functions $g (x) = 5 x - 2$ find $g^{- 1} (x)$
$4 x + 3$
If one number is x and the other number is greater than x by 3
a) Represent the information given in equation form
b) Express as a quadratic equation
c) Solve the quadratic equation to find possible values for x
d) If told that the two numbers were positive, give the values of the two original numbers.

Marvin Mccormick 2021-11-02

Based on what you have learned about the solutions of quadratic equations, which statement is true about the quadratic shown below?
$x^{2} - 32 x + 200 = 44$
A)The quadratic equation has no real solutions.
B) The quadratic equation has one real solution.
C) The graph of the quadratic function intersects the x-axis at one point.
D) The graph of the quadratic function intersects the x-axis at two points.

ringearV 2021-11-01

Write the equation of a quadratic function with $a = - 3$ and a vertex of (-4, 5)

Carol Gates 2021-10-30

Use the vertex
$(h, k)$
and a point on the graph
$(x, y)$
to find the general form of the equation of the quadratic function.
$(h, k) = (0, 3)$ , $(x, y) = (1, 4)$
$f (x) = ?$

FobelloE 2021-10-28

Part a: Assume that the height of your cylinder is 8 inches. Think of A as a function of r, which we may express as $A (r) = 2 π r^{2} + 16 π r$ . What is the domain of $A (r)$ ? In other words, for which values of r is $A (r)$ defined?
Part b: Find the inverse function to $A (r)$ . Your answer should look like $r =$ "some expression involving A".
$r (A) =$
Hints:
1) You must find r to calculate an inverse function.
2)Here you could start with $A = 2 π r^{2} + 16 π r$ . This equation is the same as $A = 2 π r^{2} + 16 π r - A = 0$ . Do you recognize this as a quadratic equation $a x^{2} + b x + c = 0$ where the variable x is r? The coefficients would be $2 π$ for a, $16 π$ for b, and $- A$ for c.
3)You can solve for r using the quadratic formula even though the constant term c is a symbol here.
Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate $r (225)$ . Round your answer to 2 decimal places.
Need Part A

remolatg 2021-10-27

Use the vertex and intercepts to sketch the graph of the quadratic function $f (x) = 2 x^{2} - 4 x - 6$ . Give the equation for the parabola's axis of symmetry.

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