Answer:
Step-by-step explanation:
From the graph, we can conclude that,
is less than 2 and not including as there is a hollow circle at the mark 2.
Also, is greater than or equal to 7 including 7 as there is a solid circle at the mark 7
So, the compound inequality will be
Now, the option that simplifies to the above inequality is the required answer.
Let us check the first option.
Therefore, option 1 simplifies to the above compound inequality.
So, the correct answer is option 1.
other points:
<u>x y</u>
-2 12
-1 3
0 0
1 3
2 12
Answer:
Step-by-step explanation:
The standard form of a quadratic equation is
The vertex form of a quadratic equation is
The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.
To find the h-value of the vertex, you use the following equation:
In this case, our quadratic equation is . Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.
⇒
Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is
⇒
⇒
⇒
This y-value that we just found is our k-value.
Next, we are going to set up our equation in vertex form. As a reminder, vertex form is:
a: 1
h: 3
k: -25
Hope this helps!
