Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Deltal'ath Studen: Application
Graph the equation shown below by transforming the given graph of the parent function

y=(1)/(2)*2^(x)
Start Over

Deltal'ath Studen: Application $\newline$ Graph the equation shown below by transforming the given graph of the parent function $\newline$ $y=\frac{1}{2} \cdot 2^{x}$ $\newline$ Start Over

View step-by-step help

View step-by-step help

Find the vertex of the transformed function

Full solution

Q. Deltal'ath Studen: Application

\newline

Graph the equation shown below by transforming the given graph of the parent function

\newline

y=\frac{1}{2} \cdot 2^{x}

\newline

Start Over

Identify parent function: Identify the parent function. $\newline$ The parent function is $y=2^x$ .
Apply transformation: Apply the transformation to the parent function. $\newline$ The given equation is $y=(\frac{1}{2})\cdot2^x$ , which means we multiply the parent function by $\frac{1}{2}$ .
Graph transformed function: Graph the transformed function. $\newline$ To graph $y=\frac{1}{2}\cdot2^x$ , take the graph of $y=2^x$ and shrink it vertically by a factor of $\frac{1}{2}$ .
Plot key points: Plot key points and draw the graph. $\newline$ Plot the points (0, rac{1}{2}), $(1, 1)$ , and (-1, rac{1}{4}) on the graph, since these are the transformed points from the parent function's key points $(0, 1)$ , $(1, 2)$ , and (-1, rac{1}{2}).

More problems from Find the vertex of the transformed function

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`m` = ____ or `m` = _____

Posted 1 month ago

Question

g(x)

g(x)

is the translation

5

f(x)=x^2

\newline

Write your answer in the form

a(x–h)^2+k

a

h

k

\newline

g(x)=

Posted 1 month ago

Question

What is the range of this quadratic function?

\newline

y = x^2 - 4x + 4

\newline

\newline

\left\{y \mid y \geq 2\right\}

\newline

\left\{y \mid y \leq 0\right\}

\newline

\left\{y \mid y \geq 0\right\}

\newline

\text{all real numbers}

Posted 1 month ago

Question

Write the equation of the parabola that passes through the points

(1,0)

(2,0)

(3,\text{–}16)

. Write your answer in the form

y = a(x – p)(x – q)

a

p

q

are integers, decimals, or simplified fractions.

\newline

Posted 1 month ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

f^2 + 8f + \_\_\_\_\_

Posted 1 month ago

Question

h

\newline

h^2 + 39h = 0

\newline

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

\newline

Posted 1 month ago

Question

Write a quadratic function with zeros

-9

-7

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

f(x) = \_\_\_\_\_

Posted 2 months ago

Question

Find the equation of the axis of symmetry for the parabola

y = x^2

\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

\newline

\underline{\hspace{3cm}}

Posted 2 months ago

Question

g(x)

g(x)

is the translation

8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

k

\newline

g(x) =

\newline

Posted 2 months ago

Question

x

\newline

x^2 = 1

\newline

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

\newline

Posted 2 months ago