Answer:
Vertex form: 
Standard form: 
Step-by-step explanation:
A quadratic function in vertex form is 
where 
is the vertex.
We are given 
.
Let's plug that in:
.
Now let's find 
.
We will use the 
-intercept 
to find .
So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that:
Answer: It is 2/3
Step-by-step explanation:
x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ]. This can be obtained by removing modulus and finding the value for x.
<h3>Which piece will the function include?</h3>
Given that,
f(x) = [ x + 3 ] which is an absolute value function.
Therefore,
| x+3 | > 0
By removing the modulus,
x+3 > 0
x > - 3
Hence x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ].
Learn more about absolute value function here:
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
7 foot
Step-by-step explanation:
