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.
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Answer:
H
Step-by-step explanation:
To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.
Answer: 135*
Step-by-step explanation:
35* is what the bottom left side of the triangle angle equals because of congruency.
All triangles = 180*
180 - 100 - 35 = 45*
top angle of triangle = 45 *
said angle (45) + x angle = 180
x = 135*
Answer:
12 weeks
Step-by-step explanation:
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