<h2>
Answer:</h2>
shift
<h2>
Step-by-step explanation:</h2>
These are common types of transformations of functions. Many functions have graphs that are simple transformations of the parent graphs, that are the most basic functions. In this way, we can use vertical and horizontal shifts to sketch graphs of functions. These are rigid transformations because the basic shape of the graph is unchanged. Therefore
is a Horizontal Shift, so the graph of the function
has been shifted 3 units to the right.
Answer:
x = 7
y = 0
Step-by-step explanation:
→To solve this, you can use the elimination method. To do this, you must have one set of variables that can cancel each other out. In the problem given, we already have positive 4x and -4x, making them cancel out:
4x + 9y = 28
-4x - y = -28
__________
8y = 0
y = 0
<u>→Plug in 0 for y, into an equation:</u>
-4x - 0 = -28
-4x = -28
x = 7
Answer:
It is a function
Step-by-step explanation:
A function is of the form:
![\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dy_1%26y_2%26y_3%5C%5C-%26-%26-%5C%5Cy_n%5Cend%7Barray%7D%5Cright%5D)
Where each of the x values must be distinct.
The x values are referred to as domain while the y values are called range.
Having said that, the given data can be represented as follows:
----------- ![\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D7%26-8%26-6%5C%5C-8%262%5Cend%7Barray%7D%5Cright%5D)
<em>From the representation above, none of the x values are repeated.</em>
<em>Hence, it is a function</em>
Answer:
nah cuh I am the way
Step-by-step explanation:
Its -1,3
<span>y=4<span>x2</span>+8x+7</span>
There is a formula for finding the vertex= <span>y=a<span>x2</span>+bx+c</span>
<span>h=−<span>b<span>2a</span></span></span> and <span>k=c−<span><span>b2</span><span>4a</span></span></span>
Solve for h with <span>a=4</span> and <span>b=8</span> and <span>c=7</span>
<span>h=−<span>b<span>2a</span></span>=<span><span>−8</span><span>2⋅4</span></span>=−1</span>
<span><span>
=</span>−<span>b<span>2a</span></span>=<span><span>−8</span><span>2⋅4</span></span>=−1</span>
Solve for k
<span>k=c−<span><span>b2</span><span>4a</span></span>=7−<span><span>82</span><span>4⋅4</span></span>=7−<span>6416</span>=7−4=3</span>
Our vertex is at <span>(−1,3)</span>
<span>y=4<span>x2</span>+8x+7</span> with vertex at <span>(−1,3)</span>