y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
Answer:
5
Step-by-step explanation:
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Hi!
We can use <u>point-slope form </u>to solve this.

<em> and </em>
<em> will be from one of the points.</em>
<u>First, we have to find </u>
<u>, the slope. We can use the slope equation to get this.</u>

<em>Plug in your points:</em>

Your slope is 
<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

Now, if you want to get it into y = mx + b form, you have to solve for y:



Your equation is 
<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>
brainly.com/question/986503
7 is the answer. hope this helps!