Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

kdgg0909gn 2021-12-05

A ball is thrown upward from the top of a 128-foot-high building. The ball is 144 feet above ground level after 1 second, and it reaches ground level in 4 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.

enfurezca3x 2021-12-05

For $h (x) = {(x - 5)}^{2} {(x + 4)}^{3}$ determine the following:
a. List each real zero and its multiplicity.
b. Determine whether the graph crosses or touches the x-axis at each x-intercept.
c. Determine the maximum number of turning points on the graph.

skomminbv 2021-12-05

2. If Ahmed is older than Salim, and the product of their ages is 477 and the sum is 62, find the followings:
a.Ahmed and Salim ages by solving quadratic equation by using General Formula.
b.Graph the parabola of quadratic function.

Michael Dennis 2021-12-05

Graph each quadratic function using the steps from the picture. Based on the graph determine t and range of the quadratic function.
$F (x) = 4 x^{2} - 4 x - 3$

gamau6v 2021-12-05

Use a system of linear equations to find the quadratic function
$f (x) = a x^{2} + b x + c$
that satisfies the given conditions. Solve the system using matrices.
$f (1) = - 1, f (2) = - 4, f (3) = - 11$
$f (x) = ?$

gamau6v 2021-12-05

A quadratic function goes through the points $(- 3, 3), (- 1, 3)$ , and $(- 2, 4)$ . What is the axis of symmetry? Its vertex? Its equation?

Lloyd Allen 2021-12-05

Use a system of linear equations to find the quadratic function
$f (x) = a x^{2} + b x + c$
that satisfies the given conditions. Solve the system using matrices.
$f (- 2) = 6, f (1) = - 3, f (2) = - 14$
$f (x) = ?$

yapafw 2021-12-05

Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.)
$y = 2 x^{2} - 5 x - 25$
$(x, y) = (smaller x-value)$
$(x, y) = (large x-value)$
Find the minimum or maximum value of the quadratic function.
$f (x) = 5 x^{2} - 2 x$

Serotoninl7 2021-12-05

Dexter graphs a quadratic function on a math test. The graph of the function crosses the x-axis at values of -3 and 6. If Dexter graphs the function correctly, which equation could represent the quadratic function?
a) $f (x) = x^{2} - 3 x - 18$
b) $f (x) = x^{2} + 3 x + 18$
c) $f (x) = x^{2} - 9 x - 18$
d) $f (x) = x^{2} + 9 x + 18$

Virginia Caron 2021-12-05

Aball is thrown upward from the top of a 48 foot-high-building. The ball is 64 feet above ground level after 1 second, and it reaches ground level in 3 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.

Douglas Kraatz 2021-12-05

Find the quadratic equation whose roots are $\frac{α + 5}{β}$ and $\frac{β + 5}{α}$ where $α$ and $β$ are roots of the quadratic equation $2 x^{2} + 7 x - 3 = 0$

signokodo7h 2021-12-04

Find the equation of a quadratic function with a maximum value at $(2, 5)$ and vertical intercept of $(0, 4)$

grasaladae5 2021-12-04

Given that $f (x) = 3 x - 2 g (x) = 4 x + 6 and h (x) = 2 x^{2} - 8 x$
Find: i) $f (- 5) =$
ii) $h [f (2)] =$
iii) $f [g (- 1)] = i$
iv) $h o f (x)$
v) $= g^{- 1} (x)$

Sheelmgal1p 2021-12-04

Find the equation of thequadratic function whose graph is a parabola coordinating the points (0,4), (2, 10), and (-1, 10)
The equation of the quadratic function whose graph is a parabola containing the given points is $y - B \otimes$
(type an equadratic using x and the vartable)

shelbs624c 2021-12-04

Graph the quadratic function $f (x) = {(x + 1)}^{2} - 2$ . 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 (-1,-2).
Use the graphing tool to graph the function.
(b) The axis is

ukelangf0 2021-12-04

If $A = 21$ and $B = 2 - 3$
8 6-1-2
Find:
a) BA
(b) determinant B
(c) Adjoint B
(d) A-1

sfair24bz 2021-12-04

Given the graph of g below:
a. Determine the family of functions to which g belongs (linear, quadratic, exponential, etc.) and write the equation for the parent function, f.
b. List the transformations that need to be performed on the graph of f, in the correet order to obtain the graph of g.
c. Write the equation of g.
a) Family:
b) Transformations
c) Equation of g:

rabbitz42z8 2021-12-04

Solve this question $y = \frac{4}{x} + \sqrt{x + 0.2 - 5 x}$

nuais6lfp 2021-12-04

A quadratic equation has $x = - 3 - 5 i$ as a solution and passes through the point (-1,4), Write the quadratic equation in standard form.

lenlifiauw2 2021-12-04

Solving an Equation in Different Ways. We have learned several different ways to solve an equation in this section. Some equations can be tacked by more than one nethod. For example, the equation
$x - \sqrt{x} - 2 = 0$
is of quadratic type: We can solve it by letting $\sqrt{x} = u$ and $x = u^{2}$ and factoring. Or we could solve for $\sqrt{x}$ , squre each side, and then solve the resulting qudratic equation. Solve the following equations using both methods indicated, and show that you get the same final answers.
a) $x - \sqrt{x} - 2 = 0$ Quadratic type; solve for the radical, and square
b) $\frac{12}{{(x - 3)}^{2}} + \frac{10}{x - 3} + 1 = 0$ Quadratic type; multiply by LCD

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