The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
brainly.com/question/25841119
#SPJ1
Answer:
114 degrees
Step-by-step explanation:
Hi there.
Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).
We know that if this is a straight angle, that
.
Therefore, m∠x = 114 degrees.
Hope this helps! :^)
Add all the item together:
16 + 28 + 12 + 4
=60 total items
Answer:
the last option: y=x^2 +3
Step-by-step explanation:
First you ask yourself, can 8 go into 1? The answer is no. Can 8 go into 12? Yes, 1 time. So you put 1 on top of the 2 and subtract 8 from 12. That gives you 4. Then you pull down the 8 from 128 and ask how many times can 8 go into 48? The answer is 6. So your answer is 16. Hope I helped!