Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

Lennie Davis 2021-12-26

To determine:
$13 x - 15 x + 8 = 4 x + 2 - 24$

hadejada7x 2021-12-26

To solve: $\frac{4 t^{2}}{5} = \frac{t}{5} + \frac{3}{10}$

veksetz 2021-12-24

Solve each equation by completing the square.
a) $x^{2} + 16 x + 45 = - 10$

pierdoodsu 2021-12-24

Clearly draw quadratics on a graph that matches the information given.
Discriminant of 6 and $a = - 2$

sunshine022uv 2021-12-22

Explain how to find the vertex of a parabola in standard form.

Monique Slaughter 2021-12-21

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

aramutselv 2021-12-21

Subtract $9 x^{2} - 10 x + 1$ from $- 2 x^{2} + 4 x - 10$

elvishwitchxyp 2021-12-20

What is the answer to this quadratic:
$0 = - 2 a^{2} \pm 2 b - 12$
$- 2 a^{2} + 2 b - 12 = 0$

Lennie Davis 2021-12-20

How do you solve $x^{2} + 16 = 0$ using the quadratic formula?

eozoischgc 2021-12-19

Consider the function below.
$f (x) = x^{2} e^{- x}$
(a) Find the exact value of the minimum of f for $x \geq 0$ .
Find the exact value of the maximum of f for $x \geq 0$ .
(b) Find the exact value of x at which f increases most rapidly.

hunterofdeath63 2021-12-19

How do you factor $7 x + 28 x^{2} - 35 x^{3}$ ?

Jason Yuhas 2021-12-17

The wave function for a traveling wave on a taut string is (in St units)
$y (x, t) = 0.300 \sin (13 π t - 2 π x + \frac{π}{4})$
(а) What are the sреed and direction of travel of the wave?
speed _ m/s
direction Select
(b) what is the vertical position of an element of the string at $t = 0, x = 0.170 m$ ?
(с) what is the wavelength of the wave?
(d) what is the frequency of the wave?
(е) What is the maximum transverse spеed of an element of the string?

b2sonicxh 2021-12-16

Find the roots of the function $f (x) = (2 x - 1) \times (x^{2} + 2 x - 3)$ with $x \in R$

berljivx8 2021-12-16

Factor the following quadratics.
a) $2 x^{2} + 7 x + 6$
b) $4 x^{2} - 13 x + 9$
c) $3 x^{2} - 10 x + 8$
d) $2 x^{2} - 3 x - 2$
e) $3 x^{2} + 17 x + 20$
f) $4 x^{2} - 25 x + 25$

osteoblogda 2021-12-16

Write the partial fraction decomposition for the rational expression
$\frac{3 x^{2} - 2 x - 1}{x {(x + 1)}^{2} {(x^{2} + 4)}^{2}}$

Harold Kessler 2021-12-16

To calculate: The break-even point for
$P (x) = - 1100 + 120 x - x^{2}$

pierdoodsu 2021-12-14

Fill out the information below for the following quadratic function:
$f (x) = x^{2} - 4 x - 5$
Complete the table below:
$\begin{array}{cc} x & f (x) \\ 0 \\ 1 \\ 2 \\ 3 \\ 4 \end{array}$
Write the factored form of the function
$f (x) = ?$

Anne Wacker 2021-12-14

Solve for x:
a) ${(x + 1)}^{2} = 16$
b) ${(3 x - 1)}^{2} = 0$
c) ${(x + 8)}^{2} = - 9$

Kathy Williams 2021-12-14

Which of the following are quadratics? For those that are, identify the values of a, b, and c
1) $2 x^{2} + 7 x = 15$
2) $x (x^{2} + 3 x - 10) = 0$
3) ${(x + 1)}^{2} = 2 (x - 3)$
4) ${(x - 1)}^{2} + 3 = 2 x + 1$

osula9a 2021-12-14

Perform the multiplication or division and simplify.
$\frac{x + 3}{4 x^{2} - 9} \div \frac{x^{2} + 7 x + 12}{2 x^{2} + 7 x - 15}$

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