Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

Emily-Jane Bray 2021-02-25

Find the vertex, the axis of symmetry, and the y-intercept of the graph.

chillywilly12a 2021-02-22

If twelve is added to six times a number, the result is twenty-eight less than the square of the number. Find all such numbers.

Mylo O'Moore 2021-02-22

What is the vertex of the quadratic $y = 6 (x - 2)^{2} + 10$ ?

Globokim8 2021-02-21

A quadratic function is given. $f (x) = x^{2} + 2 x - 5$ (a) Express the quadratic function in standard form.

Braxton Pugh 2021-02-21

Solve the quadratic equation using the quadratic formula. $2 x^{2} - 6 x + 5 = 0$

glasskerfu 2021-02-14

Multiply and simplify
$\frac{x^{2} + 2 x - \frac{3}{x^{2}} + 1 x - 20}{x - \frac{1}{x} + 5}$

foass77W 2021-02-13

Identify the vertex, complete the table and graph $g (x) = {(x - 4)}^{2} - 5 .$

Daniaal Sanchez 2021-02-12

How do you solve this using completing the square? $- 16 t^{2} + 32 t = - 5 - 16 t^{2} + 32 t = - 5 - 16 t^{2} + 32 t = - 5$

Harlen Pritchard 2021-02-11

Factoring is used to solve quadratics of the form $a x^{2} + b x + c = 0$ when th eroots are rational. Find the roots of the following quadratic functions by factoring:
a) $f (x) = x^{2} - 5 x - 14$
b) $f (x) = x^{2} - 64$
c) $f (x) 6 x^{2} + 7 x - 3$

ruigE 2021-02-09

Suppose that the combined area of two squares is 360 square feet. Each side of the larger square is three times as long as a side of the smaller square. How big is each square?

ediculeN 2021-02-09

For which value of bb would $x^{2} + b x - 24$ be prime?
A. 3
B. 5
C. 10
D. 23

Lennie Carroll 2021-02-09

Solution to quadratic equation Quadratic formula -2 Examples with solution and checking

Ayaana Buck 2021-02-08

The factored form of a quadratic function is $f (x) = (x ‒ p) (x ‒ q)$ . The standard form of a quadratic function is $f (x) = a x^{2} + b x + c$ . The factored form for a quadratic function tells us the x-intercepts of the quadratic function, while the standard form for a quadratic function tells us the y-intercept of the quadratic function.
Answer the following question:
If $p = 2$ and $q = - 3$ , use what you have learned about multiplying polynomials to
- write the factored form of the quadratic function f(x)
- write the standard form for the quadratic function f(x)

FobelloE 2021-02-01

Write a quadratic equation with the given solutions. -1 and -6

Lewis Harvey 2021-01-31

Solve the quadratic by using the quadratic formula $x^{2} = 7 x + 9$

mattgondek4 2021-01-30

A function is a ratio of quadratic functions and has a vertical asymptote x =4 and just one -intercept, x =1. It is known f that has a removable discontinuity at x =- 1 and $lim_{x \to 1} f (x) = 2$ . Evaluate
a) f(0)
b) $lim x_{x \to \infty} f (x)$

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

$25 p ² - 10 p = 2$