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SECONDARY
ALGEBRA
ALGEBRA I
QUADRATIC FUNCTION AND EQUATION
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Get help with quadratic functions and equations
Recent questions in Quadratic function and equation
rheisf
2021-12-27
Answered
How do you expand
\(\displaystyle{\left({x}−{y}\right)}^{{3}}\)
?
Jean Blumer
2021-12-26
Answered
How do you find the roots of
\(\displaystyle{x}^{{3}}-{12}{x}+{16}={0}\)
?
sunshine022uv
2021-12-22
Answered
Explain how to find the vertex of a parabola in standard form.
Lennie Davis
2021-12-20
Answered
How do you solve
\(\displaystyle{x}^{{2}}+{16}={0}\)
using the quadratic formula?
hunterofdeath63
2021-12-19
Answered
How do you factor
\(\displaystyle{7}{x}+{28}{x}^{{2}}-{35}{x}^{{3}}\)
?
eozoischgc
2021-12-19
Answered
Consider the function below.
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{{2}}}{e}^{{-{x}}}\)
(a) Find the exact value of the minimum of f for
\(\displaystyle{x}\geq{0}\)
.
Find the exact value of the maximum of f for
\(\displaystyle{x}\geq{0}\)
.
(b) Find the exact value of x at which f increases most rapidly.
Jason Yuhas
2021-12-17
Answered
The wave function for a traveling wave on a taut string is (in St units)
\(\displaystyle{y}{\left({x},{t}\right)}={0.300}{\sin{{\left({13}\pi{t}-{2}\pi{x}+{\frac{{\pi}}{{{4}}}}\right)}}}\)
(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
\(\displaystyle{t}={0},{x}={0.170}{m}\)
?
(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?
Kathleen Rausch
2021-12-12
Answered
Consider the following. (Round your answers to four decimal places.)
\(\displaystyle{f{{\left({x},{y}\right)}}}={x}{\cos{{\left({y}\right)}}}\)
(a) Find
\(\displaystyle{f{{\left({7},{9}\right)}}}\)
and
\(\displaystyle{f{{\left({7.1},{9.05}\right)}}}\)
and calculate
\(\displaystyle\Delta{z}\)
.
\(\displaystyle{f{{\left({7},{9}\right)}}}=?\)
\(\displaystyle{f{{\left({7.1},{9.05}\right)}}}=?\)
\(\displaystyle\Delta{z}=?\)
(b) Use the total differential dz to approximate
\(\displaystyle\Delta{z}\)
.
\(\displaystyle{\left.{d}{z}\right.}=?\)
Reginald Metcalf
2021-12-11
Answered
Graph each quadratic function using the steps from the picture. Based on the graph determine the domain and range of the quadratic function.
\(\displaystyle{\mid}{G}{\left({x}\right)}=-{9}{x}^{{{2}}}+{18}{x}+{7}\)
Charles Kingsley
2021-12-11
Answered
Sketch the graph of the quacratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.
\(\displaystyle{g{{\left({x}\right)}}}={2}{x}^{{2}}\)
Osvaldo Apodaca
2021-12-11
Answered
Edwin and Aldrin attempt to solve a problem that reduces to a quadratic equation. Edwin made a mistake only in the constant term of the quadratic equation and gives answers of - 3 and - 4 for the roots. Aldrin solving the same problem made a mistake in the coefficient of the first degree term and gives answers of 2 and 5 for the roots. If you check their solutions, what would be the correct quadratic equation?
Algotssleeddynf
2021-12-10
Answered
Quadratic equations are used for many applications. The formula to solve quadratic equations can be used to solve all quadratic equations, even those that cannot be factored. A common application of quadratic equations is the height of a thrown object over time, which takes the earth's gravity and the velocity of the throw into account. For example, if someone throws a ball down from a height of 100 meters, the ball's distance from the ground can be modeled by the equation:
\(\displaystyle{d}=-{9.8}{t}^{{{2}}}-{15}{t}+{100}\)
where t is the time in seconds and d is the distance in meters.
At what time (t) will the ball hit the ground? (Hint: what does this mean for d=distance?)
kramtus51
2021-12-09
Answered
Graph the quadratic function
\(\displaystyle{f{{\left({x}\right)}}}={\left({x}+{4}\right)}^{{{2}}}\)
. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the largest open interval over which the function is decreasing.
(a) The vertex is (-4,0).
(b) The axis is
Jessie Lee
2021-12-09
Answered
A quadratic-linear system of equations is graphed below.
a) Use the graph to write the solution to the system. No need to show any work.
b) Write the equation of the linear function drawn on the grid. No need to show any work.
c) Write the equation of the Quadratic function drawn on the grid in standard form. [Hint: use the x-intercepts]
William Collins
2021-12-09
Answered
Use the vertex and tercopts ic eketen the Aen of the quadrant function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function’ s domain and range.
\(\displaystyle{f{{\left({x}\right)}}}={8}{x}^{{2}}+{16}{x}-{5}\)
kloseyq
2021-12-09
Answered
The table to the right has the inputs, x, and the outputs for three functions, f, g, and h. Use second differences to determine which function is exactly quadratic, which is approximately quadratic, and which is not quadratic.
\[\begin{array}{|c|c|}\hline X & f(x) & g(x) & h(x) \\ \hline 0 & 5 & -3 & 0 \\ \hline 2 & 3.4 & 100 & 15 \\ \hline 4 & 14.6 & 402 & 205 \\ \hline 6 & 38.6 & 892 & 442 \\ \hline \end{array}\]
The function f(x) is
\(\displaystyle\underline{{\ }}\)
quadratic, and h(x) is
\(\displaystyle\underline{{\ }}\)
quadratic.
Mary Reyes
2021-12-08
Answered
Use the vertex
\(\displaystyle{\left({h},\ {k}\right)}\)
and a point on the graph
\(\displaystyle{\left({x},\ {y}\right)}\)
to find the general form of the equation of the quadratic function.
\(\displaystyle{\left({h},\ {k}\right)}={\left(-{6},\ -{1}\right)},\ {\left({x},\ {y}\right)}={\left(-{9},\ {8}\right)}\)
Judith McQueen
2021-12-07
Answered
A family of cubic functions have zeros of -2 and
\(\displaystyle{4}\pm\sqrt{{{7}}}\)
.
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
Answered
State the domain and range of te functin whose graph appears below:
Grady Turner
2021-12-07
Answered
Let
\(\displaystyle{X}_{{{1}}},\ldots,{X}_{{{n}}}\sim\)
Uniform(a,b) where a and b are unknown paramaters and a
(a) Find the method of moments estimators for a and b.
(b) Find the MLE
\(\displaystyle\hat{{{a}}}\)
and
\(\displaystyle\hat{{{b}}}\)
.
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