Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

kiki195ms 2021-12-02

Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.
$f (x) = {(x - 4)}^{2} + 8$
Use the graphing tol to graph te function as a si curve andthe axis of symmetry as a dashed line.
Click to enlarge graph
The vertex is
(Type an ordered pair.)
The axis of symmetry is
(Type an equation.)

enfurezca3x 2021-12-02

The zeros of a quadratic function are $\frac{1}{2}$ and -3. The y-intercept of the quadratic function is -4. Sketch the graph of the quadratic function based on the given information.

khi1la2f1qv 2021-12-02

Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.
$h (x) = {(x + 9)}^{2}$
Use the graphing tol to graph te function as a si curve andthe axis of symmetry as a dashed line.
Click to enlarge graph
The vertex is
(Type an ordered pair.)
The axis of symmetry is
(Type an equation.)

ukelangf0 2021-12-02

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola’s axis of symmetry. Use the parabola to identify the function's domain and range,
$f (x) = 4 {(x - 2)}^{2} - 3$
Use the graphing tool to graph the equation, Use the vertex and the y-intercept when drawing the graph.
Click to enlarge graph
The exis of symmetry is
(Type an equation. Simplify your answer)
The domain of f is
(Type your answer in interval notation.)
The range of f is
(Type your answer in interval notation.)

Lloyd Allen 2021-12-02

Find, in the form $y = z x 2 + b z + c$ , the equation of the quadratic function whose graph:
a) touches axis x at 4 and passes through the point (2,12)
b) has x-intercepts 3 and -2 and y-intercept 3.

villane0 2021-12-01

Writen the equation of a quadratic function with the given zeros. 0.4 and -4

vetrila10 2021-12-01

Find the centroid of the region in the first quadrant bounded by the given curves.
$y = x^{3}, x = y^{3}$

Charles Cisneros 2021-12-01

Find the general form of the equation for the quadratic function using the vertex $(h, k)$ and a point on the graph $(x, y)$ .
$(h, k) = (1, 0) (x, y) = (0, 1)$

uneskovogl5 2021-12-01

Solve the given quadratic eqauation by using the graph of its related function.
$x^{2} - 67 = - 51$
Part 1 out of 2
Enter te related function of the given quadratic equation. Then complete the table of values for the related function.
The related function is $y = x^{2} +$ .
$\begin{array}{cc} x & - 5 & - 4 & 0 & 4 & 5 \\ y \end{array}$

xnlghtmarexgo 2021-12-01

Use the table below to find the pattern. Fill in any missing y-values using your pattern
$\begin{array}{cc} x & y \\ 0 & 4 \\ 1 & 12 \\ 2 & 36 \\ 3 & 108 \\ 4 \\ 5 & 972 \\ 6 \\ 7 & 8748 \end{array}$

hroncits8y 2021-11-30

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.
$(h, k) = (0, 2), (x, y) = (1, 3)$

rabbitz42z8 2021-11-30

Solve the initial value problem for r as a vector function of t Differential equation: $\frac{d r}{d t} = (180 t) i + (180 t - 16 t^{2}) j$ Initial condition: $r (0) = 100 j$

ArcactCatmedeq8 2021-11-30

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.
$\begin{array}{cc} X & f (x) & g (x) & h (x) \\ 0 & 4 & - 2 & 0 \\ 2 & 6.4 & 118 & 11 \\ 4 & 21.6 & 462 & 152 \\ 6 & 49.6 & 1017 & 343 \end{array}$
The function f(x) is $\underset{―}{}$ quadratic, and h(x) is $\underset{―}{}$ quadratic.

Halkadvalseln 2021-11-30

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.
$(h, k) = (- 6, - 1), (x, y) = (- 8, 3)$

Idilwsiw2 2021-11-30

Determine, in Factored and Standard form, the equation for the quadratic function that has x-intercepts at 1 and -3 and a y-intercept at $(0, - 6) .$ Show all your work.

podnescijy 2021-11-30

The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can be modeled by the quadratic function $f (x) = - 4.509 x^{2} + 71.12 x + 97.91$ , where $x = 0$ represents January 1, 2000, $x = 1$ represents January 1, 2001, and so on, and f(x) is in billions of dollars. According to the model, in what year during this period was the amount spent on clothing and footwear a maximum?

Michelle Arroyo 2021-11-30

If -5 is a root of the quadratic equation $2 x^{2} + p x - 15 = 0$ and the quadratic equation $p (x^{2} + x) + k = 0$ has equal roots. Find the value of k

alka8q7 2021-11-30

Consider the following equations:
$f (x) = 5 x^{2} + 4$ and $g (x) = 2^{x}$
$\begin{array}{cc} x & f (x) & G (x) \\ 0 \\ 1 \\ 2 \\ 3 \\ 4 \\ 5 \\ 6 \\ 7 \\ 8 \\ 9 \\ 10 \end{array}$
a) As x increases, will the value of f(x) always be greater than the value of g(x)?
b) Will an exponential function eventually always succeed a qudratic function?

Steven Smith 2021-11-30

Write the equation of a quadratic function with the given zeros. 2 and -6

oppvarmet16 2021-11-30

What is the equation of a quadratic function with a vertex $(3, 4)$ and passes through $(1, 2)$

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